A Novel Multi-Attribute Group Decision-Making Approach in the Framework of Proportional Dual Hesitant Fuzzy Sets

Abstract

Making decisions are very common in the modern socio-economic environments. However, with the increasing complexity of the social, today’s decision makers (DMs) face such problems in which they hesitate and irresolute to provide their views. To cope with these uncertainties, many generalizations of fuzzy sets are designed, among them dual hesitant fuzzy set (DHFS) is quite resourceful and efficient in solving problems of a more vague nature. In this article, a novel concept called proportional dual hesitant fuzzy set (PDHFS) is proposed to further improve DHFS. The PDHFS is a flexible tool composed of some possible membership values and some possible non-membership values along with their associated proportions. In the theme of PDHFS, the proportions of membership values and non-membership values are considered to be independent. Some basic operations, properties, distance measure and comparison method are studied for the proposed set. Thereafter, a novel approach based on PDHFSs is developed to solve problems for multi-attribute group decision-making (MAGDM) in a fuzzy situation. It is totally different from the traditional approach. Finally, a practical example is given in order to elaborate the proposed method for the selection of the best alternative and detailed comparative analysis is given in order to validate the practicality.

T-Spherical Fuzzy Frank Aggregation Operators and Their Application to Decision Making With Unknown Weight Information

“…To examine the impact of various values of the parameter t on the ranking order of alternatives, we adapt different values of t in Step 4 of the suggested MCDM approach. The derived results are shown in Tables 3,4 and Figures 4 and 5 (setting τ = 2). From Table 3, we can observe that the score values obtained by T-SFFHA operator become smaller and smaller as the value of t increases while those obtained by T-SFFHG operator rise as the value of t increases.…”

A Literature Review of Dual Hesitant Fuzzy Sets / Uma Revisão Da Literatura Sobre Conjuntos Dual Hesitant Fuzzy

“…Human resources: staffing; employee selection; performance evaluation. Su et al 2019;Yu 2014;Garg e Kaur 2019;Rodzi 2020;Bashir et al 2019;Ren e Wei 2017;Yu e Li 2014;Singh 2014. Emergency Plans: evaluation of solutions for emergency responses; rescue plans.…”

On distance measure and TOPSIS model for probabilistic interval-valued hesitant fuzzy sets: application to healthcare facilities in public hospitals

“…TOPSIS originally proposed in (Hwang and Yoon, 2011) is a method to choose the best alternative from a finite set of alternatives that should have the shortest distance from the positive ideal solution (PIS) and the farthest distance from the negative ideal solution (NIS). Until now, a lot of TOPSIS techniques have been developed such as for IVHFSs (Moghaddam et al, 2015), proportional dual hesitant fuzzy sets (PDHFSs) (Bashir et al, 2019), probabilistic hesitant intuitionistic linguistic term sets (PHILTSs) (Malik et al, 2018) but there is a little research on PIVHFSs. Consequently, it is necessary to build up the TOPSIS model for probabilistic interval-valued hesitant fuzzy environment.…”