Preference Intuitionistic Fuzzy Rough Relation and its Theoretical Approach

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Authors

  • Ajoy Kanti Das
     Department of Mathematics, Bir Bikram Memorial College, Agartala-799004, Tripura ,IN
  • Carlos Granados
     Estudiante de Doctorado en Matemticas, Magister en Ciencias Matemticas, Universidad de Antioquia, Medelln ,CO

DOI:

https://doi.org/10.18311/jims/2023/27812

Keywords:

Fuzzy Set and Rough Set and Intuitionistic Fuzzy Set, Preference Relation and Atanassov’s Operator.
03E72, 03E02

Abstract

Relations on intuitionistic fuzzy sets (IFSs) and rough sets (RSs) have recently received a lot of attention for uncertainty. IFSs can effectively represent and simulate the uncertainty and diversity of judgment information offered by decision-makers. In comparison to fuzzy sets (FSs), IFSs are highly beneficial for expressing vagueness and uncertainty more accurately. In this paper, we introduce a novel concept of preference intuitionistic fuzzy rough relation (PIFRR) as an extension of intuitionistic fuzzy rough relation (IFRR) and partially included intuitionistic fuzzy rough relation (PIIFRR). Based on the concepts of IFRR and PIIFRR a theoretical approach of the PIFRR is established and some useful properties are investigated. Finally, we introduce the concepts of Semi-connected and totally semi-connected IFRRs and study under which assumptions PIFRRs fulfil these properties.

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Published

2023-07-12

How to Cite

Das, A. K., & Granados, C. (2023). Preference Intuitionistic Fuzzy Rough Relation and its Theoretical Approach. The Journal of the Indian Mathematical Society, 90(3-4), 199–212. https://doi.org/10.18311/jims/2023/27812

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 Ajoy Kanti Das, Carlos Granados

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2021-05-14
Accepted 2022-03-30
Published 2023-07-12

 

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