Open AccessThe Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets
Author(s) -
Zhiming Zhang
Publication year - 2013
Publication title -
advances in fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.38
H-Index - 19
eISSN - 1687-711X
pISSN - 1687-7101
DOI - 10.1155/2013/197435
Subject(s) - rough set , mathematics , fuzzy set , fuzzy logic , soft set , defuzzification , fuzzy set operations , soft computing , fuzzy number , reduct , fuzzy classification , type 2 fuzzy sets and systems , reduction (mathematics) , mathematical optimization , computer science , data mining , artificial intelligence , geometry
Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper soft fuzzy rough approximation operators. The concept of reduct of a fuzzy soft set is introduced and the procedure to find a reduct for a fuzzy soft set is given. Furthermore, the concept of exclusion of a fuzzy soft set is introduced and the procedure to find an exclusion for a fuzzy soft set is given.
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