Introducing rough sets in hesitant fuzzy set domain and using it for the various applications would open up new possibilities in rough set theory. For this purpose the notion of hesitant fuzzy relations is introduced. The foundation of equivalence hesitant fuzzy relation is laid. Definition of anti-reflexive kernel, symmetric kernel etc. is proposed and the formulae to evaluate them are derived...

In today’s environment, as the complexity of actual events develops, products become increasingly complicated. As a result, companies should collaborate to integrate disparate technologies while developing product or service. Additionally, collaborating with right supplier helps company increase flexibility, competitiveness, and profitability its goods services. The goal this study is look into...

In this paper, we firstly propose some generalized prioritized aggregation operators to aggregate the intuitionistic fuzzy values (IFVs), such as the generalized intuitionistic fuzzy prioritized weighted geometric (GIFPWG) operator and the generalized intuitionistic fuzzy prioritized weighted average (GIFPWA) operator. It is shown that some existing intuitionistic fuzzy aggregation operators ar...

Developing low-carbon tourism can not only improve the ecological environment, but also promote development of economy in China. To select a desirable destination, we need to consider multiple conflicting and incommensurate criteria, simultaneously. However, traditional decision-making methods such as analytical hierarchy process Delphi fail model complex cognition decision makers. In this rega...

In this paper we present a new class of operators based on Trapezoid Fuzzy numbers such as Trapezoid Fuzzy Prioritized Weighted Mean (TFPWM) operator, Trapezoid Fuzzy Prioritized Weighted Geometric Average (TFPWG), Trapezoid Fuzzy Prioritized Weighted Harmonic Average(TFPWH) operators to solve multiple attribute group decision making (MAGDM) problems. Unlike other (MAGDM) techniques here the at...

A p-rung orthopair fuzzy set (p-ROFS) describes a generalization of intuitionistic and Pythagorean in the case where we face larger representation space acceptable membership grades, moreover, it gives decision maker more flexibility expressing his/her real preferences. Under environment, are going to propose novel parametrized score function p-ROFSs by incorporating idea weighted average degre...

Dempster-Shafer theory is widely used in decision-making and considered as one of the potential mathematical tools order to fuse evidence. However, existing studies this show disadvantage due conflicting nature standard evidence set combination rule In paper, we have constructed framework q-rung address issue conflicts based on fuzzy number its more comprehensive range advantage compared other ...

The soft set theory is a newly mathematical tool to deal with uncertain problems. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, we introduce the average function and propose the interval-valued intuitionistic hesitant fuzzy soft sets (IVIHFSSs) which are a combination of the interval-valued intuitionistic hesitant fuzzy sets and...