Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems

Tahir Mahmood, Ubaid ur Rehman, Zeeshan Ali, Muhammad Aslam and Ronnason Chinram
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Tahir Mahmood: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan
Ubaid ur Rehman: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan
Zeeshan Ali: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan
Muhammad Aslam: Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
Ronnason Chinram: Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand

Mathematics, 2022, vol. 10, issue 10, 1-19

Abstract: The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare or rank positive and negative membership grades. In this framework, we deliberated various techniques for aggregating the collection of information into a singleton set, called BCF weighted arithmetic averaging (BCFWAA), BCF ordered weighted arithmetic averaging (BCFOWAA), BCF weighted geometric averaging (BCFWGA), and BCF ordered weighted geometric averaging (BCFOWGA) operators for BCF numbers (BCFNs). To illustrate the feasibility and original worth of the diagnosed approaches, we demonstrated various properties of the diagnosed operators, in addition to their capability that the evaluated value of a set of BCF numbers is a unique BCF number. Further, multiattribute decision making (“MADM”) refers to a technique employed to compute a brief and dominant assessment of opinions with multiattributes. The main influence of this theory is implementing the diagnosed theory in the field of the MADM tool using BCF settings. Finally, a benchmark dilemma is used for comparison with various prevailing techniques to justify the cogency and dominancy of the evaluated operators.

Keywords: bipolar complex fuzzy settings; averaging/geometric aggregation operators; support decision-making techniques (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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