The Journal of the Indian Mathematical Society

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Preference Intuitionistic Fuzzy Rough Relation and its Theoretical Approach


Affiliations
1 Department of Mathematics, Bir Bikram Memorial College, Agartala-799004, Tripura, India
2 Estudiante de Doctorado en Matemticas, Magister en Ciencias Matemticas, Universidad de Antioquia, Medelln, Colombia
     

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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.

Keywords

Fuzzy Set and Rough Set and Intuitionistic Fuzzy Set, Preference Relation and Atanassov’s Operator.
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  • Preference Intuitionistic Fuzzy Rough Relation and its Theoretical Approach

Abstract Views: 315  |  PDF Views: 12

Authors

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

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.

Keywords


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

References





DOI: https://doi.org/10.18311/jims%2F2023%2F27812