Identification and Classification of Multi-Attribute Decision-Making Based on Complex Intuitionistic Fuzzy Frank Aggregation Operators

Xiaopeng Yang (), Tahir Mahmood (), Zeeshan Ali and Khizar Hayat
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Xiaopeng Yang: School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China
Tahir Mahmood: Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Zeeshan Ali: Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Khizar Hayat: Department of Mathematics, University of Kotli, Kotli 11100, Pakistan

Mathematics, 2023, vol. 11, issue 15, 1-19

Abstract: Invented by Frank in 1979, Frank’s t-norm and t-conorm operations possess improved modifications and can be applied more generally than the existing algebraic t-norm and t-conorm. The major objective of this article is to determine Frank’s operational laws based on complex intuitionistic fuzzy (CIF) information. Moreover, we examine the Frank aggregation operators (averaging and geometric) based on CIF set theory and Frank operational laws, such as the CIF Frank weighted averaging (CIFFWA) operator, CIF Frank ordered weighted averaging (CIFFOWA) operator, CIF Frank hybrid averaging (CIFFHA) operator, CIF Frank weighted geometric (CIFFWG) operator, CIF Frank ordered weighted geometric (CIFFOWG) operator and CIF Frank hybrid geometric (CIFFHG) operator. Some dominant and feasible properties of the invented techniques are also stated. Additionally, to evaluate the problem of osteoporosis in human bodies based on their causes and risk factors, we illustrate an application of the multi-attribute decision-making (MADM) technique with consideration of the invented methods to show the supremacy and validity of the derived techniques. Finally, we aim to compare the proposed scenarios with some valid existing or prevailing techniques to increase the value of the presented approaches.

Keywords: complex intuitionistic fuzzy sets; osteoporosis disease; Frank averaging/geometric aggregation operators; decision-making evaluations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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