Multiple Criteria Decision Analysis Using Correlation-Based Precedence Indices Within Pythagorean Fuzzy Uncertain Environments

Abstract

The theory of Pythagorean fuzzy sets possesses significant advantages in handling vagueness and complex uncertainty. Additionally, Pythagorean fuzzy information is useful to simulate the ambiguous nature of subjective judgments and measure the fuzziness and imprecision more flexibly. The aim of this research is to develop an effective assignment-based method using a novel concept of correlation-based precedence indices for conducting multiple criteria decision analysis within the Pythagorean fuzzy uncertain environment. Based on the ideas of information energy and correlations, this paper defines a novel concept of correlation-based precedence indices in the Pythagorean fuzzy context and discusses their desirable properties. Next, this paper presents some useful concepts of discordance indicators, weighted discordance indicators, comprehensive discordance indicators, and comprehensive discordance indices to construct a novel assignment model for acquiring a comprehensive ranking of candidate alternatives. As an application of the proposed assignment-based method, a practical example concerning a financing decision of working capital policies is provided to demonstrate its practicality and effectiveness.

A Novel Distance Measure for Pythagorean Fuzzy Sets and its Applications to the Technique for Order Preference by Similarity to Ideal Solutions

“…Chen [14], Gul et al [15], and Liang et al [16] proposed the PF-Vise Kriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for dealing with MCDA problems. Wang and Chen [17] developed an effective assignment-based method using correlation-based precedence indices for MCDM problems within the PF uncertain environment. Haktanir and Kahraman [18] proposed the interval-valued Pythagorean fuzzy quality function development (IVPF-QFD) method for handling solar photovoltaic technology problems.…”

A Novel Pythagorean Fuzzy LINMAP-Based Compromising Approach for Multiple Criteria Group Decision-Making with Preference Over Alternatives

“…Vagueness and impreciseness are unavoidable uncertainties in human evaluation processes [18]. The concept of Pythagorean fuzzy (PF) sets, initiated by Yager [19][20][21] and Yager and Abbasov [22], is a powerful tool in handling real-world uncertainty because PF sets slacken the prerequisite in which the sum of membership and nonmembership degrees is less than or equal to one with the square sum is less than or equal to one [23][24][25]. Accordingly, PF sets allow decision-makers to portray uncertain assessment data agilely and conveniently during the MCGDM process.…”

Multiple Criteria Group Decision Making Using a Parametric Linear Programming Technique for Multidimensional Analysis of Preference Under Uncertainty of Pythagorean Fuzziness

“…The concept of Pythagorean fuzzy (PF) sets, originally developed by Yager [16]- [18] and Yager and Abbasov [19], is useful to represent ambiguous and uncertain decision information [20], [21]. As a valuable extension of intuitionistic fuzzy sets, Pythagorean membership grades involved in a PF set relax the condition that the sum of membership and non-membership degrees is less than or equal to one with the square sum is less than or equal to one [15], [22]- [24]. Accordingly, PF sets have been widely popular in handling complex uncertainty involved in practical decision-making problems, and they have attracted numerous scholars' research interests in recent years.…”