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Linguistic Z‐number fuzzy soft sets and its application on multiple attribute group decision making problems
Author(s) -
Tao Zhifu,
Liu Xi,
Chen Huayou,
Liu Jinpei,
Guan Fei
Publication year - 2020
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.22202
Subject(s) - soft set , group decision making , set (abstract data type) , preference , group (periodic table) , mathematics , fuzzy set , fuzzy logic , ideal (ethics) , fuzzy number , computer science , type 2 fuzzy sets and systems , artificial intelligence , statistics , chemistry , organic chemistry , philosophy , epistemology , political science , law , programming language
Abstract In this study, the concept of linguistic Z‐number fuzzy soft set ( L Z n F S S ) is proposed to describe multiple uncertainties in practical decision making problems. L Z n F S S combines the concepts of fuzzy soft set, linguistic Z‐number, and soft set, which could reflect both of the uncertainty in structure and the uncertainty in detailed evaluations. As an initial idea, the set operations on L Z n F S S s are put forward, the properties of such operations are also discussed. With traditional soft set based decision procedure and fuzzy soft set based decision procedure, a novel linguistic Z‐number fuzzy soft set based group decision procedure is developed to solve multiattribute group decision making with linguistic Z‐numbers. Wherein an extended technique for order preference by similarity to ideal solution is also developed. Finally, a numerical example is shown to illustrate the practicality and effectiveness of the given method.