2018
DOI: 10.1155/2018/6463039
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An Interval‐Valued Pythagorean Fuzzy Compromise Approach with Correlation‐Based Closeness Indices for Multiple‐Criteria Decision Analysis of Bridge Construction Methods

Abstract: The purpose of this paper is to develop a novel compromise approach using correlation-based closeness indices for addressing multiple-criteria decision analysis (MCDA) problems of bridge construction methods under complex uncertainty based on interval-valued Pythagorean fuzzy (IVPF) sets. The assessment of bridge construction methods requires the consideration of multiple alternatives and conflicting tangible and intangible criteria in intricate and varied circumstances. The concept of IVPF sets is capable of … Show more

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Cited by 16 publications
(8 citation statements)
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References 66 publications
(156 reference statements)
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“…On the basis of the optimal permutation matrix normalΦˆ1=false[italicΦitalicˆi,γ1false]5×5 (see Appendix B for details), one obtains AnormalΦˆ1=(a3,a4,a2,a1,a5) by means of Equation (22). Consequently, the ultimate dominance ranking of the five alternatives was obtained as a3a4a2a1a5, which is in agreement with the results obtained by using the correlation‐based compromise approach in relation to fixed ideals by Chen 47 and the interval‐valued PF compromise method via correlation‐based closeness indices by Chen 48 . The application findings exhibit the practicability and reasonableness of the initiated dominance ordering methodology in treating an MCDA issue within PF environments.…”
Section: Real‐world Application With a Comparative Studysupporting
confidence: 84%
See 3 more Smart Citations
“…On the basis of the optimal permutation matrix normalΦˆ1=false[italicΦitalicˆi,γ1false]5×5 (see Appendix B for details), one obtains AnormalΦˆ1=(a3,a4,a2,a1,a5) by means of Equation (22). Consequently, the ultimate dominance ranking of the five alternatives was obtained as a3a4a2a1a5, which is in agreement with the results obtained by using the correlation‐based compromise approach in relation to fixed ideals by Chen 47 and the interval‐valued PF compromise method via correlation‐based closeness indices by Chen 48 . The application findings exhibit the practicability and reasonableness of the initiated dominance ordering methodology in treating an MCDA issue within PF environments.…”
Section: Real‐world Application With a Comparative Studysupporting
confidence: 84%
“…This section develops an inquiry into a selection issue involving financing policies for fulfilling working capital requirements. This real‐world financing decision for working capital policies was originated by Chen 46 within the interval‐valued PF environments and then modified to adapt to PF decision environments in Chen's studies 47,48 . The implementation process of the illustrative application can reveal that the dominance ordering methodology is reasonably practicable.…”
Section: Real‐world Application With a Comparative Studymentioning
confidence: 99%
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“…Yang et al [18] proposed novel operations of interval-valued Pythagorean fuzzy numbers (IVPFNs) under Frank t-norm and t-conorm and based on which the authors further proposed a set of interval-valued Pythagorean fuzzy (IVPFS) power average operators. Cheng [19] proposed an IVPF compromise decision-making approach and applied it in bridge construction analysis. Wei et al [20] proposed an IVPF Maclaurin symmetric mean AO based decision-making method, which is powerful for its ability of capturing the interrelationship among multiple attributes.…”
Section: Introductionmentioning
confidence: 99%