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 CHEMICAL ENGINEERING TRANSACTIONS  
 

VOL. 66, 2018 

A publication of 

 

The Italian Association 
of Chemical Engineering 
Online at www.aidic.it/cet 

Guest Editors: Songying Zhao, Yougang Sun, Ye Zhou 
Copyright © 2018, AIDIC Servizi S.r.l. 

ISBN 978-88-95608-63-1; ISSN 2283-9216 

Application of Extension Strategy Generation System 

Algorithm in Chemical Enterprise Management 

Wei Wu 

Anhui Finance & Trade Vocational College, Anhui 230601,China 

weiwu28319120@126.com 

This paper aims to study the feasibility and effectiveness of extension strategy generation system algorithm in 

the chemical enterprise management. To this end, the problems that often occur in the management process 

of domestic chemical enterprises were analysed, and then by introducing the extension strategy generation 

system algorithm, a data model conforming to the characteristics of enterprise management was established. 

The results indicate that in the chemical enterprise management, the applied extension strategy generation 

system algorithm is highly feasible. It provides an important reference for solving the problems in the 

enterprise management process. Therefore, in the related management work of chemical enterprises, the 

application of extension strategy generation system algorithm can not only quickly improve the efficiency and 

level of management, but also provide effective guarantees for promoting the long-term sound development of 

enterprises. This is of great value of promotion and application. 

1. Introduction  

With the rapid development of the social economy, the information technological level has been continuously 

improved. At the same time, the systems that are related to decision-making have become more and more 

complex, so, more parameters should be considered in the actual application process. In this context, the 

optional strategies continue to emerge. If only relying on the human brain to generate strategies, the 

effectiveness of their decisions cannot be guaranteed. In the increasingly fiercely competitive market 

environment, in order to maintain their core competitive advantages and stand firm, the enterprises have 

expected to promote strategic generation and problem development or early warning through the use of 

computer and network technologies during the massive information processing and reprocessing, so as to 

provide the reliable reference for subsequent decisions. But this isn’t supported by the auxiliary decision 

support system and the management software in the current market. The fundamental reason is that firstly, 

the related research results for the basic theory of strategy generation are still in the embryonic stage; 

secondly, in terms of the strategy generation method and model, the feasibility and effect of computer 

application need to be further discussed and studied. The extension strategy generation system is mainly 

based on Extenics. Its application provides the key information for the joint development of artificial 

intelligence and decision science. 

Since the operational extension transformation research is realized on the basis of the computer, it is 

necessary to comprehensively analyse and measure the relevant computer technologies, such as the 

database, data mining, object-orientation and artificial intelligence etc. The domestic research on the 

extension transformation has been conducted officially, but there have been very few research reports on its 

implementation on computers and the strategy generation on the basis of extenics. Therefore, in the research 

process of strategy generation algorithms, the Extenics method and its principles must be introduced, which 

should be all presented on the computer. This shall offer a new direction for the research and development of 

extenics, and also provide the important reference for the realization of intelligent management in chemical 

enterprises. 

                                

 
 

 

 
   

                                                  
DOI: 10.3303/CET1866245 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Please cite this article as: Wu W., 2018, Application of extension strategy generation system algorithm in chemical enterprise management, 
Chemical Engineering Transactions, 66, 1465-1470  DOI:10.3303/CET1866245   

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2. Literature review 

With the changes of the times, the development of the world economy is complicated. China's economic 

development has entered a downward path. With the trend of economic globalization is more and more 

obvious, trade protectionism is in vogue. The company is in a very special period. At this stage, there is 

insufficient demand in the domestic market and the situation in foreign markets is complex. The operation and 

management of an enterprise is affected by various factors. When it comes to decision-making, it is more 

difficult than ever before. Corporate management strategies are increasingly difficult. Some strategies have 

flaws and cannot take into account the overall situation. In the aspect of corporate management, chemical 

companies are even more strenuous. Enterprise management, employee management, production 

management, equipment management, and safety management are all considerations for business 

managers. In recent years, the government has paid more and more attention to the safe production and 

environmental protection of enterprises. In 2017, many companies were ordered by the environmental 

protection department to stop work for rectification due to environmental problems. These factors make 

chemical companies more and more pressure on management. In particular, in the face of a complex and 

ever-changing environment, it is very difficult for management personnel to change management decisions. 

Chemical company managers began to use the extension strategy generation system algorithm to manage 

the enterprise. Extension strategy management is based on the theory of extenics. Combining computers, and 

based on the different data presented, strategies are intelligently generated (Borland et al., 2016). 

Cai Wen's land mark article "Extended Sets and Non-Compatibility Issues" was published in 1983. Therefore, 

it declares the birth of Extenics. The goal of Extenics is to study the uncompromising and incompatible issues 

in the real world (Ertek et al., 2017). The theoretical basis of Extenics is matter-element theory and extended 

set theory. Extended control, extended information, extended systems, extended logic, etc. are all part of this 

theoretical system. Its practical methods include the expansion of engineering methods, further including the 

concept of extended feature analysis, bridge conversion, extended cognition, extended decision making, and 

extended forecasting. The three pillar theories of extension theory are elementary theory, extension set theory 

and extension logic. Extenics mainly studies the dynamic set theory based on transformation to express the 

quantized tool that transforms the contradiction problem into the non-contradictory and the nature 

transformation process by transformation. A formal model that combines quality and quantity is studied to 

overcome the limitation of the mathematical model, the transformation of the contradiction and the basis of the 

transformation of the object. The basic theory and method of extenics and the combination of knowledge in 

various fields are studied. 

The process of management is to solve contradictions by developing new ideas (Kumar et al., 2017). Extenics 

is a discipline that solves this problem. It uses formal positive models to study the possibility of expanding 

things and develop new rules and methods of innovation, and to solve contradictions (Lieder and Rashid, 

2016). Based on the current state of application of extenics in the field of management, the prospects of 

applying extenics in conflict management, system thinking, and complex system management are proposed 

(Lin et al., 2017). In the era of knowledge economy, information and knowledge have become an important 

resource. At the same time, it also caused information explosion and knowledge overload. The intelligence of 

information management and knowledge management has put forward new requirements (McDonald-Buller, 

et al., 2016). In exploring the problems encountered in the process of information management and 

knowledge management, based on the concept of extenics, it proposes a complementary development model 

between information management, knowledge management and extenics. The existing research results have 

enriched the foundation and expanded the basis for transformation methods. In the process of information 

management and knowledge management, the introduction of extenics methods and concepts can make the 

development of information management and knowledge management more intelligent (Rangaiah et al., 

2015). 

Chinese scholars have continued to conduct in-depth studies of extensions and integrate ideas with business 

management. It provides a good idea and foundation for chemical enterprise extension strategy management. 

The bottlenecks encountered in the management of domestic chemical companies can be solved based on 

the research of these outstanding scholars. At present, domestic data mining, data analysis, machine learning, 

artificial intelligence, big data analysis and other technologies have developed rapidly. All these provide an 

excellent technical basis for the development of the extension strategy generation system. In the current era, 

enterprise management technology has also been continuously updated to better solve the complex problems 

encountered by enterprises in the real world. The extension strategy generation system is an artificial 

intelligence strategy generation system that uses computers to assist people in generating contradictory 

problems (Simon et al., 2014). 

In summary, the theory of extenics is of great significance in business management. Chemical companies 

face complex situations at home and abroad, and risk factors have greatly increased. Enterprises must rely on 

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enough information to make decisions in business management. Obviously, the traditional way of human 

decision-making is not entirely competent in enterprise management. Research, development, and application 

of extension strategy generation systems are of great significance to chemical companies. The extension 

strategy generation system can greatly improve the accuracy of chemical companies' decision-making. 

According to the environment in which the company is located, this system can consider the factors affecting 

the company in multiple ways. It provides the chemical industry with a variety of decision-making programs 

that are fast, comprehensive, and scientific, so that managers of chemical companies can select and make 

decisions. The operating efficiency of the company is improved, human resources are saved, and the 

management efficiency and capability of chemical companies are improved. This provides comprehensive 

support for the development of the company. 

3. Methods  

Through the study of extenics, database technology, and object-oriented technology, the main contents of this 

study are as follows: Based on the basic extension theories and methods, the theoretical requirements and 

system design requirements related to this topic are discussed; the study is based on the theory and method 

of extenics which can be used in the formalized description of computer-generated strategy; the combination 

and application of extension method and database, data warehouse and object-oriented technologies were 

explored; the related definitions and implementation methods were discussed by the extension data mining 

method; based on the theoretical results of the above discussion and research, a strategy generation system 

for clothing sales based on extension transformation was designed and implemented; By adopting a more 

reasonable human-computer interaction interface and using the data mining method, the strategy generation 

and evaluation process based on the extension transformation technology are achieved more completely. 

Figure 1 shows the effect of the intelligent extension algorithm applied in the chemical enterprise management 

under the strategy of extension strategies, where, a is the initial state and b is the end state. 

 

Figure 1: Effect diagram of the algorithm can be extended 

3. Results and analysis  

3.1 Knowledge about extension strategy generation 

The Extenics is to adopt the method of extension transformation on the conditions or purpose of the problem 

through analysis of the inconsistency problem, produce the extension strategy set, and apply effective 

strategies to solve the problem. Extension strategy is the specific measure to solve contradictory problems. It 

is the ultimate goal of applying Extenics and also the way that Extenics can be applied to actual production 

and life. The extension strategy is to use the extension transform equation to change the compatibility degree 

of incompatible problems from ≤0 to >0. The solution transformation of incompatible problems is an extension 

strategy. The process to generate an extension strategy is called extension strategy generation. Extension 

strategy generally means to apply extension transformation to one certain problem or target based on the 

problem related tree, and then generate the strategy set for solving the contradictory problem. According to 

the nature of related networks and correlations, this extension transformation will also cause conduction 

transformation on the primitives of problem-related tree. Through the transformation of one certain leaf 

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primitive in the initial correlation tree, the generated implication tree of extension transformation is called the 

extension strategy generation tree. In the specific application system of extension strategy generation, 

according to the extension model of the contradiction problem, the conditions or targets of this problem are 

conducted with extension analysis and extension transformation so as to generate the strategy set over 0; 

then through the evaluation of goodness, the high-evaluated strategy is recommended to decision makers for 

selection. Table 1 lists the relevant conditions of the generated objects. 

Table 1: Calculation table 

work ACTIM  

1-2-3-4 3+2+4 9 
1-3 5 5 
2-3 2 2 
2-3-4 2+4 6 
3-4 4 4 

 

The experiments were made for the two algorithms with more applications, by taking the SKA algorithm in 

literature [6] for comparison. The experimental platform and main parameters include: (1) The computer with 

CPU intelP43.06 and the memory 1G; (2) The operating system of Windows XP; (3) The simulation software 

Matlab 7.01. The experimental results are shown in Figure 2. 

 

Figure 2: Calculation time comparison between GKA and SKA 

Experiments show that for both GKA and SKA algorithms, the computing time have exponentially increased, 

but that of GKA growth is relatively slow. It’s because that in the beginning phase of test, the key identification 

file in GKA needs to be continuously updated, which spends extra more time. 

3.2 Generation algorithm method and simulation experiment 

3.2.1 Fractal recursive algorithm 

The recursive algorithm can be simply understood as a “self-replicating” process. Essentially, it uses the 

computer’s “push-and-pop the stack” to store the breakpoints of the function call, and repeatedly applies some 

specific rules to generate nested structures. Fractals have self-similar features, so recursive algorithms can be 

used to generate fine fractals. For the generation of those classic fractal graphs, most of them can use the 

fractal recursive algorithm. It is the simplest algorithm for generating fractal graphs. The Cantor-ternary set is a 

special point set constructed by the German mathematician Cantor when studying the trigonometric series 

problems.it is a classic self-similar fractal graph. Later, the meteorologist, Richardson (1881-1953) applied it to 

the practical measurement for the length of the west coast of the United Kingdom. The Cantor-ternary set has 

a great influence, so, the fractal recursive algorithm is used to achieve its mapping. Figure 3 shows the 

principle of using the recursive algorithm to realize the Cantor-ternary set. 

 

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Figure 3: Cantor form principle figure 

The basic idea of IFS is to use the fractal self-affinity feature to realize the generation of two-dimensional 

fractal graphs. Many objects of two-dimensional fractal graph have a certain degree of similarity in their locality 

and entirety. The IFS algorithm is through the continuous use of fractal self-similarity features and repeated 

iterative computing, to find the fractal affine transformation parameters, make some formula derivations, and 

achieve the final two-dimensional fractal graph. The resulting two-dimensional fractal map is dependent on the 

iteration rules and the affine transform coefficients, with no relation to the selected initial point. In general, to 

generate a very complex graph, many different affine transformations must be made. But affine 

transformations require artificial modifications because affine transformations may not be needed in a certain 

direction. Therefore, the probability P that the affine transformation is invoked was introduced as one variable. 

When the probability P is larger, it means that the number of affine transformations in this direction is greater; 

if P is smaller, the number of affine transformations is smaller. If this phenomenon is reflected on the 

generated two-dimensional map, it can be understood that if the portion with a large probability P occupies a 

large proportion of the entire graph, the plotted points are more intensive. If the portion with the small 

probability P occupies a small proportion of the entire graph, the dots are sparse and the colors naturally look 

relatively dark. By introducing the probability P, the affine transformation has the distinction between primary 

and secondary, and also makes the generated two-dimensional fractal image more harmonious and more 

realistic. Table 2 lists the IFS code of the Sierpinski gasket. 

Table 2: The IFS code of Sierpinski gasket 

i ai bi ci di ei fi pi 

1 0.5 0 0 0.5 0 0 0.34 

2 0.5 0 0 0.5 0.5 0 0.33 

3 0.5 0 0 0.5 0.25 0.5 0.34 

 

In Table 3 below, for example, based on the characteristics of chemical enterprises, the corresponding 

management chart was created, in which (a) and (b) are the materials required for management process, and 

the material generated by (c) can not only be taken as the reference for the management of chemical 

enterprises, but can also be applied in other fields 

Table 3: Generating system algorithm generating rules 

Corresponding illustrations The number of W P 

a 90 F-F-F P:F-F[F]+F+F[F]-F 

b 90 F-F-F P:F-F[F]+F-F[++F]-F+F 
c 90 F-F-F P:F-FF[-F+F+F]F 

 

According to the principle of L-system algorithm to generate two-dimensional fractal maps, the L system 

algorithm program flow was designed. By code writing, the fractal graph corresponding to the rules shown in 

Table 3 above was implemented. 

4. Conclusions  

After a series of studies in this paper, the following conclusions have been drawn:  

Based on the basic extension theories and methods, the related theoretical requirements and system design 

requirements were discussed; 

It uses the extension theory and method to solve contradictory problems, adopts the extension model to 

describe things and laws in the objective world, applies extension reasoning and extension transformation to 

establish inference rules for generating strategies, and sets extension and association as a quantitative tool 

for strategy generation and strategy evaluation so as to provide new methods for computer intelligence. 

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Due to the limitations in research time and our academic level, there remain still many aspects of this system 

for further improvement and optimization, and also much work to be completed and improved in future. 

Through the combination of extension theory and computer technology, the development of the extension 

strategy generation system implemented on the computer are still in the preliminary stage, and further 

research should be conducted later. 

Acknowledgement 

Supported by the Program for Excellent Young Talents of Universities in Anhui Province in 2017. 

(gxyqZD2017092); 

Supported by the Research Project of Major Educational Reform of Anhui Province in 2017. (2017jyxm0803). 

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