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Intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices and their application in decision-making

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Abstract

This study aims to propose the concept of intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices (ifpifs-matrices) and to present several of its basic properties. Therefore, it would be possible to improve the problem-modelling capabilities of the available intuitionistic fuzzy parameterized intuitionistic fuzzy soft sets in the occurrence of a large number of data. Moreover, by using ifpifs-matrices, we suggest a new soft decision-making method, denoted by EA20, and apply it to a multi-criteria group decision-making (MCGDM) problem. We then compare the ranking performance of EA20 for five noise-removal filters with those of ten state-of-the-art soft decision-making methods. The results show that EA20 successfully models performance-based value assignment problems. Finally, we discuss ifpifs-matrices and EA20 for further research.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey

    Serdar Enginoǧlu & Burak Arslan

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  1. Serdar Enginoǧlu
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  2. Burak Arslan
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Correspondence to Serdar Enginoǧlu.

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Communicated by Anibal Tavares de Azevedo.

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Enginoǧlu, S., Arslan, B. Intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices and their application in decision-making. Comp. Appl. Math. 39, 325 (2020). https://doi.org/10.1007/s40314-020-01325-1

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