TOPSIS, VIKOR and aggregation operators based on q-rung orthopair fuzzy soft sets and their applications

In this article, we study some concepts related to q-rung orthopair fuzzy soft sets (q-ROFSSs) together with their algebraic structure. We present operations on q-ROFSSs and their specific properties and elaborate them with real-life examples and tabular representations to develop an influx of lingu...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 39; no. 5; pp. 6903 - 6917
Main Authors Riaz, Muhammad, Hamid, Muhammad Tahir, Athar Farid, Hafiz Muhammad, Afzal, Deeba
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2020
Subjects
Algorithms
Decision making
Flow charts
Fuzzy sets
Mathematical analysis
Multiple criterion
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Summary:In this article, we study some concepts related to q-rung orthopair fuzzy soft sets (q-ROFSSs) together with their algebraic structure. We present operations on q-ROFSSs and their specific properties and elaborate them with real-life examples and tabular representations to develop an influx of linguistic variables based on q-rung orthopair fuzzy soft (q-ROFS) information. We present an application of q-ROFSSs to multi-criteria group decision-making (MCGDM) process related to the university choice, accompanied by algorithm and flowchart. We develop q-ROFS TOPSIS method and q-ROFS VIKOR method as extensions of TOPSIS (a technique for ordering preference through the ideal solution) and VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje), respectively. Finally, we tackle a problem of construction utilizing q-ROFS TOPSIS and q-ROFS VIKOR methods.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-192175