A multi‐criteria decision making approach for strategy formulation using Pythagorean fuzzy logic. Issue 1 (5th September 2021)

• Record Type: Journal Article
• Authors: Sarkar, Biswajit; Biswas, Animesh
• Is Part Of: Expert systems. Volume 39:Issue 1(2022)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-09-05
• Subjects: distance measure -- entropy weight model -- MULTIMOORA -- Pythagorean fuzzy sets -- QSPM; Expert systems (Computer science); 006.33
• DOI: 10.1111/exsy.12802
• Languages: English
• ISSNs: 0266-4720

Abstract

Abstract: The objective of this paper is to develop Pythagorean fuzzy (PF) multi‐objective optimization by ratio analysis (PF‐MOORA) plus full MULTIplicative form (PF‐MULTIMOORA) method for solving multicriteria decision making (MCDM) problems with completely unknown information of criteria weights. In the model formulation process, a new distance measure is defined to quantify the difference between PF sets by combining Hamming distance and Hausdorff metric. This distance measure is, subsequently, implemented in entropy weight model for determining unknown weights of criteria, and also in reference point approach for obtaining preference indices of alternatives. To overcome the deficiencies occurred in existing MULTIMOORA method, like multiple comparisons, circular reasoning, and so on, an aggregation‐based approach is recommended in the proposed PF‐MULTIMOORA. To demonstrate the feasibility and practicality of the proposed method, an example concerning strategy prioritization of a tiles manufacturing company is presented. In the strategy evaluation process, at first, the judgement values provided by the decision maker are expressed in linguistic terms, and then those are converted into PF numbers through a PF weighting scale. The sensitivity of the proposed model is validated by changing of weights of criteria which impact on the ranks of the strategies. To show robustness of the developed method, the result attained by applying PF‐MULTIMOORA is compared with existing techniques, not only in crisp and fuzzy quantitative strategic planning matrix context, but also using four other MCDM methods, namely, modified PF‐MOORA, as a particular case of the proposed PF‐MULTIMOORA technique, PF weighted sum, PF‐TOPSIS and PF‐VIKOR.