FUZZY δ-TOPOLOGY AND COMPACTNESS
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초록
We introduce the concepts of fuzzy $\delta$-interior and show that the set of all fuzzy $\delta$-open sets is also a fuzzy topology, which is called the fuzzy $\delta$-topology. We obtain equivalent forms of fuzzy $\delta$-continuity. Moreover, the notions of fuzzy $\delta$-compactness and fuzzy locally $\delta$-compactness are defined and their basic properties under fuzzy $\delta$-continuous mappings are investigated.
Abstract
We introduce the concepts of fuzzy $\delta$-interior and show that the set of all fuzzy $\delta$-open sets is also a fuzzy topology, which is called the fuzzy $\delta$-topology. We obtain equivalent forms of fuzzy $\delta$-continuity. Moreover, the notions of fuzzy $\delta$-compactness and fuzzy locally $\delta$-compactness are defined and their basic properties under fuzzy $\delta$-continuous mappings are investigated.
참고문헌 (16)
- K. K. Azad, "On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly conti nuity", J. Math. Anal. Appl, 82(1), pp.14~32 (1981)
- C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
- J. R. Choi, "On fuzzy -continuous mappings", Fuzzy Sets and Systems, 54(1), pp.107~113 (1993)
- S. Ganguly, "A note on δ-continuity and δ-connected sets in fuzzy set theory", Simon Stevin, 62(2), pp.127~141 (1988)
- I. M. Hanafy, "δ-compactness in fuzzy topological spaces", Math. Japonica, 51(2), pp.229~234 (2000)
- Y. C. Kim, "Fuzzy semi-regular spaces and fuzzy δ-continuous functions", International Journal of Fuzzy Logic and Intelligent Systems, 1, pp.69~74 (2001)
- Y. C. Kim, "R-fuzzy δ-closure and r-fuzzy θ-closure sets", International Journal of Fuzzy Logic and Intelligent Systems, 10(6), pp.557~563 (2000)
- Y. C. Kim, "Separation axioms in terms of θ-closure and δ-closure operators", Indian J. Pure Appl. Math, 34(7), pp.1067~1083 (2003)
- 이석종, "Categorical property of intuitionistic topological spaces", 대한수학회논문집, 24(4), pp.595~603 (2009), 대한수학회
- 이석종, "INTUITIONISTIC FUZZY θ-CLOSURE AND θ-INTERIOR", 대한수학회논문집, 25(2), pp.273~282 (2010), 대한수학회
- S. J. Lee, "Fuzzy strongly (r, s)-precontinuous mappings", IEEE International Conference on Fuzzy Systems, pp.581~586 (2009)
- M. N. Mukherjee, "On some near-fuzzy continuous functions between fuzzy topological spaces", Fuzzy Sets and Systems, 34(2), pp.245~254 (1990)
- M. N. Mukherjee, "Fuzzy -closure operator on fuzzy topological spaces", Internat. J. Math. Math. Sci, 14(2), pp.309~314 (1991)
- Z. Petri, "On fuzzy semiregularization, separation properties and mappings", Indian J. Pure Appl. Math, 22(12), pp.971~982 (1991)
- P. M. Pu, "Fuzzy topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence", J. Math. Anal. Appl, 76(2), pp.571~599 (1980)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)