Rough Fuzzy Relation on Two Universal Sets
Автор: Xuan Thao Nguyen, Van Dinh Nguyen, Doan Dong Nguyen
Журнал: International Journal of Intelligent Systems and Applications(IJISA) @ijisa
Статья в выпуске: 4 vol.6, 2014 года.
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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.
Rough Fuzzy Sets, Rough Fuzzy Relations, Similarity Relations
Короткий адрес: https://sciup.org/15010548
IDR: 15010548
Список литературы Rough Fuzzy Relation on Two Universal Sets
- Z. Pawlak, Rough sets, International Journal of computer and information sciences 11(5), 341 - 356, 1982.
- T. Beaubouef, F. Petry, Normalization in rough relation database, International conference on rough sets, fuzzy sets, data mining and granular computing, pp 257-265, 2005.
- T. Beaubouef, F. Petry, Rough and rough fuzzy sets in design of information systems, Computational Complexity: theory, technique and application, pp 2702-2715, 2012.
- L.A. Zadeh, Fuzzy set, Information and control (8), pp 338-353, 1965.
- Y.Y.Yao, Combination of rough and fuzzy sets based on level sets, Rough sets and Data mining: analysis for imprecise data, Kluwer Academic Publisher, Boston, pp 301 – 321, 1997.
- A. Skowron, Rough – fuzzy computing, Handbook of natural computing, Springer – Verlarg Berlin Heidelberg, pp 1921 – 1948, 2012.
- W. Z. Wu, Y. H. Xu, On fuzzy topological structures of rough fuzzy sets, Transactions on rough sets XVI, LNCS 7736, Springer – Verlag Berlin Heidelberg, pp 125-143, 2013.
- S. Lan, Fuzzy rough relation and Its properties, Journal of Systems science and Systems Engineering, V. 11, N. 3, pp 367 – 370, 2002.
- T. K. Samanta, B. Sarkar, Fuzzy rough relation, G.J.P and A Sc and Tech, Vol 01, pp 10 – 17, 2011.
- W. B. V. Kandasamy and F. Smarandache, Fuzzy relational maps and neutrosophic relational maps, HEXIS Church Rock, 2004.
