Xuan Thao Nguyen; Van Dinh Nguyen; Doan Dong Nguyen

International Journal of Intelligent Systems and Applications (IJISA)

IJISA Vol. 6, No. 4, 8 Mar. 2014

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Rough Fuzzy Relation on Two Universal Sets

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Author(s)

Xuan Thao Nguyen ^1,* Van Dinh Nguyen ¹ Doan Dong Nguyen ¹

1. Faculty of Information Technology, Ha Noi University of Agriculture (HUA), Vietnam

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2014.04.05

Received: 17 Aug. 2013 / Revised: 5 Dec. 2013 / Accepted: 11 Jan. 2014 / Published: 8 Mar. 2014

Index Terms

Rough Fuzzy Sets, Rough Fuzzy Relations, Similarity Relations

Abstract

Fuzzy set theory was introduced by L.A. Zadeh in 1965. Immediately, it has many applications in practice and in building databases, one of which is the construction of a fuzzy relational database based on similar relationship. The study of cases of fuzzy relations in different environments will help us understand its applications. In this paper, the rough fuzzy relation on Cartesian product of two universe sets is defined, and then the algebraic properties of them, such as the max, min, and composition of two rough fuzzy relations are examined. Finally, reflexive, α-reflexive, symmetric and transitive rough fuzzy relations on two universe sets are also defined.

Cite This Paper

Xuan Thao Nguyen, Van Dinh Nguyen, Doan Dong Nguyen, "Rough Fuzzy Relation on Two Universal Sets", International Journal of Intelligent Systems and Applications(IJISA), vol.6, no.4, pp.49-55, 2014. DOI:10.5815/ijisa.2014.04.05

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