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CN‐ q ‐ROFS: Connection number‐based q ‐rung orthopair fuzzy set and their application to decision‐making process
Author(s) -
Garg Harish
Publication year - 2021
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22406
Subject(s) - group decision making , measure (data warehouse) , connection (principal bundle) , set (abstract data type) , degree (music) , computer science , fuzzy logic , fuzzy set , group (periodic table) , mathematics , process (computing) , identity (music) , mathematical optimization , data mining , artificial intelligence , chemistry , physics , geometry , organic chemistry , political science , acoustics , law , programming language , operating system
The aim of the paper is to introduce a novel concept of connection number‐based q ‐rung orthopair fuzzy set (CN‐ q ‐ROFS) and thus to develop a method for solving the multiattribute group decision‐making (MAGDM) problem. The q ‐rung orthopair fuzzy set ( q ‐ROFS) has outstanding characteristics to deal with the uncertain information, while the connection number resolves with the uncertainties and certainty as a three‐degree system, namely identity, contrary, and discrepancy. By combining these two ideas, this paper is divided into three parts. First, the CN‐ q ‐ROFS concept is introduced and its features are read. Moreover, some operation laws are defined to combine the different elements of the proposed set. Second, a novel measure of the degree of possibility is presented to measure the degree of possibility within the given objects. Finally, a group decision‐making method for solving problems with uncertain information is propagated and illustrated with a series of examples. Finally, a group decision‐making method is promoted to solve the problems of uncertain information and illustrates a number of examples. The advantages, comparative as well as superiority analysis of the proposed framework are provided to confirm the approach.