Compositions of Picture Fuzzy Relations with Application in Decision Making

Mohammad Kamrul Hasan, Abeda Sultana and Nirmal Kanti Mitra
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Mohammad Kamrul Hasan: Jahangirnagar University, Bangladesh
Abeda Sultana: Jahangirnagar University, Bangladesh
Nirmal Kanti Mitra: Bangladesh University of Business and Technology, Bangladesh

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 2, 19-28

Abstract: Picture fuzzy relation is an important and powerful concept which is suitable for describing correspondences between objects. It represents the strength of association of the elements of picture fuzzy sets. In this paper we have defined min-max composition for picture fuzzy relations and some properties are explored based on this definition. Also we have discussed some properties of max-min composition for picture fuzzy relations. Finally, an application is discussed as illustration to show how the picture fuzzy relation are applied in decision making.

Keywords: Composition of picture fuzzy relations; linguistic terms; picture fuzzy relation; picture fuzzy set (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:2:id:14188

DOI: 10.24018/ejmath.2023.4.2.188

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