Two‐parametric generalized fuzzy knowledge measure and accuracy measure with applications

Abstract

Fuzzy entropy concerning a fuzzy set computes the imprecision content of that set whereas the content of precision is evaluated by using the notion of fuzzy knowledge measure. In this paper, we suggest a twoparametric version of the knowledge measure in fuzzy settings. Further, we investigate its novelty and advantages from various viewpoints, such as attribute weight computation, ambiguity computation, and appropriate handling of the structured linguistic variables. We also introduce a two-parametric generalized fuzzy accuracy measure (GFAM) and demonstrate its application in pattern analysis. Additionally, we contrast the effectiveness of the suggested fuzzy accuracy measure with several existing compatibility measures. We also consider the Multiobjective Optimization on the basis of Ratio Analysis (MOORA) method of multiple attribute decision-making (MADM) based on the proposed two-parametric generalized fuzzy knowledge measure and two-parametric GFAM. We also contrast the MADM method with the conventional MOORA method.

A historical review and analysis on MOORA and its fuzzy extensions for different applications

“…In addition, one numerical example of pattern recognition was selected to show the efficacy of the proposed methodology. Singh and Ganie [ 255 ] presented two parametric variants of knowledge measure under a fuzzy environment and combined them with the MOORA method for solving problems concerning vague and uncertain data.…”

Some t-conorm-based distance measures and knowledge measures for Pythagorean fuzzy sets with their application in decision-making

“…Later on, Singh et al [78] also introduced a one-parametric generalization of the FKM and discussed its various applications. A twoparametric fuzzy knowledge measure and accuracy measure with their applicability in decision-making and classification problems were given by Singh and Ganie [79]. For IFSs, there are various studies [80][81][82][83][84][85][86] regarding the knowledge measures (KMs) with their practical applications.…”

A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets

“…Researchers became interested in FSs, and they found their use in -computer sciences‖, -communications‖, -intelligence sciences‖, -decision sciences‖, and -engineering‖. There are some recent studies on FSs and their many applications in the literature [2]- [5].…”

“…An entropy measure for PIFSs with its application in decision-making was proposed by Arya and Kumar [66]. Some other studies concerning the information measures for FSs and their extensions are available in the literature [2], [7], [16], [20], [67]- [72], [73]- [76], [77]- [85]. SFSs are an extension of PIFSs, and they also get over their drawbacks.…”