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Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis
Author(s) -
Garg Harish,
Kumar Kamal
Publication year - 2019
Publication title -
expert systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 38
eISSN - 1468-0394
pISSN - 0266-4720
DOI - 10.1111/exsy.12428
Subject(s) - operator (biology) , computer science , set (abstract data type) , aggregate (composite) , identity (music) , basis (linear algebra) , fuzzy set , fuzzy logic , power (physics) , connection (principal bundle) , algorithm , artificial intelligence , algebra over a field , mathematics , pure mathematics , biochemistry , chemistry , materials science , physics , geometry , repressor , quantum mechanics , transcription factor , acoustics , composite material , gene , programming language
The aim of the presented paper is to give a multiattribute decision making (MADM) method under the linguistic intuitionistic fuzzy (LIF) environment using the set pair analysis (SPA) theory. LIF set can express the qualitative information in terms of linguistic variables, whereas the connection number (CN) based on the “identity,” “discrepancy,” and “contrary” degrees of the SPA theory handles the uncertainties and certainties systems. On the basis of these features, we develop some series of linguistic CN (LCN) power weighted and ordered weighted geometric aggregation operator to aggregate the different LCNs. Several properties of the operators are also studied. Afterward, we present a novel MADM method to solve decision‐making problems under LIF set environment and illustrate with several examples to validate it. A comparative analysis is also presented to show the results.
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