id author title date pages extension mime words sentence flesch summary cache txt cana-4548 T. Yogashanthi, K. Deva A Smart Technique Approach in Picture Fuzzy Schweizer-Sklar Power Geometric Aggregation Operators for Enhancing Road Construction Companies through Group Decision-Making 2025 18 .pdf application/pdf 7133 374 63 𝛽 βˆ’ βˆ‘π‘—=1 π‘š β€ŠοΏ½Μ†οΏ½π‘— + 1) 1 𝛽 , (βˆ‘π‘—=1 π‘š β€ŠοΏ½Μ†οΏ½π‘—πœ‚π‘— 𝛽 βˆ’ βˆ‘π‘—=1 π‘š β€ŠοΏ½Μ†οΏ½π‘— + 1) 1 𝛽 , (βˆ‘π‘—=1 π‘š β€ŠοΏ½Μ†οΏ½π‘—πœˆπ‘— 𝛽 βˆ’ βˆ‘π‘—=1 π‘š β€ŠοΏ½Μ†οΏ½π‘— + 1) 1 𝛽 + (οΏ½Μ†οΏ½π‘š+1πœ‡π‘š+1 𝛽 βˆ’ οΏ½Μ†οΏ½π‘š+1 + 1) 1 𝛽, 1 βˆ’ (οΏ½Μ†οΏ½π‘š+1(1 βˆ’ πœ‚π‘š+1)𝛽 βˆ’ οΏ½Μ†οΏ½π‘š+1 + 1) 1 𝛽, 1 βˆ’ (οΏ½Μ†οΏ½π‘š+1(1 βˆ’ πœˆπ‘š+1)𝛽 βˆ’ οΏ½Μ†οΏ½π‘š+1 + 1) 1 π›½βŸ© = ⟨(βˆ‘π‘—=1 π‘š+1 β€ŠοΏ½Μ†οΏ½π‘—πœ‡π‘— 𝛽 βˆ’ βˆ‘π‘—=1 π‘š+1 β€ŠοΏ½Μ†οΏ½π‘— + 1) 1 𝛽1 βˆ’ (βˆ‘π‘—=1 π‘š+1 β€ŠοΏ½Μ†οΏ½π‘—(1 βˆ’ πœ‚π‘—) In order to prove Equation 6, we first prove that when οΏ½Μ†οΏ½ = (οΏ½Μ†οΏ½1, οΏ½Μ†οΏ½2, … , �̆�𝑛)𝑇 is any value, i.e. without any constraint for οΏ½Μ†οΏ½, the following equation is right: PFSSPWG(𝛼1, 𝛼2, … , 𝛼𝑛) cache/cana-4548.pdf txt/cana-4548.txt