FUZZY ωO-OPEN SETS
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we introduce the relatively new notion of fuzzy ωO-open set. We prove that the collection of all fuzzy ωO-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known “fuzzy generalized open” subsets.
Abstract
In this paper, we introduce the relatively new notion of fuzzy ωO-open set. We prove that the collection of all fuzzy ωO-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known “fuzzy generalized open” subsets.
참고문헌 (8)
- M. K. Chakrabarty, "Fuzzy topology on fuzzy sets and tolerance topology", Fuzzy Sets and Systems, 45(1), pp.103~108 (1992)
- C. L. Chang, "Fuzzy topological spaces", Journal of Mathematical Analysis and Applications, 24, pp.182~190 (1968)
- A. K. Chaudhuri, "Some results on fuzzy topology on fuzzy sets", Fuzzy Sets and Systems, 56(3), pp.331~336 (1993)
- A. H. E"Cs, "Almost compactness and near compactness in fuzzy topological spaces", Fuzzy Sets and Systems, 22(3), pp.289~295 (1987)
- T. E. Gantner, "Compactness in fuzzy topological spaces", Journal of Mathematical Analysis and Applications, 62(3), pp.547~562 (1978)
- F. S. Mahmoud, "Fuzzy topology on fuzzy sets: fuzzy semicontinuity and fuzzy semiseparation axioms", Applied Mathematics and Computation, 153(1), pp.127~140 (2004)
- C. K. Wong, "Covering properties of fuzzy topological spaces", Journal of Mathematical Analysis and Applications, 43, pp.697~704 (1973)
- C. K. Wong, "Fuzzy points and local properties of fuzzy topology", Journal of Mathematical Analysis and Applications, 46, pp.316~328 (1974)