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FUZZY r-MINIMAL α-OPEN SETS ON FUZZY MINIMAL SPACES

민원근
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회논문집 (Communications of the KMS)|제27권 제3호|pp. 603-611

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참고문헌

키워드

$r$-minimal semiopen$r$-minimal $\alpha$-openfuzzy $r$-$M$ continuousfuzzy $r$-$M$ $\alpha$-continuousfuzzy $r$-$M$ semicontinuous$r$-$M$($M^*$) $\alpha$-open mappings
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초록

We introduce the concept of fuzzy $r$-minimal $\alpha$-open set on a fuzzy minimal space and some basic properties. We also introduce the concepts of fuzzy $r$-$M$ $\alpha$-continuous and fuzzy $r$-$M$($M^*$) $\alpha$-open mappings, and investigate characterization for such mappings.

Abstract

We introduce the concept of fuzzy $r$-minimal $\alpha$-open set on a fuzzy minimal space and some basic properties. We also introduce the concepts of fuzzy $r$-$M$ $\alpha$-continuous and fuzzy $r$-$M$($M^*$) $\alpha$-open mappings, and investigate characterization for such mappings.

참고문헌 (5)

  1. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  2. W. K. Min, "Fuzzy r-minimal semiopen sets and fuzzy r-M semicontinuous functions on fuzzy r-minimal spaces", Proceedings of KIIS Spring Conference 2009, 19, pp.49~52 (2009)
  3. A. A. Ramadan, "Smooth topological spaces", Fuzzy Sets and Systems, 48(3), pp.371~375 (1992)
  4. Y. H. Yoo, "Fuzzy r-minimal structures and fuzzy r-minimal spaces", Far East J. Math. Sci, 33(2), pp.193~205 (2009)
  5. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

FUZZY r-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES김명환, 민원근한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호Results on fuzzy r-minimal semicompactness on fuzzy minimal spaces김명환강원경기수학회 · 한국수학논문집2010 · 제18권 제3호Some results in fuzzy almost r-M continuous functions on fuzzy r-minimal structures김명환, 민원근강원경기수학회 · 한국수학논문집2010 · 제18권 제2호Remarks on interval-valued fuzzy minimal precontinuous mappings and interval-valued fuzzy minimal preopen mappings김명환, 민원근강원경기수학회 · 한국수학논문집2009 · 제17권 제3호INTUITIONISTIC FUZZY MINIMAL SPACES민원근한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호Several concepts of continuity in fuzzy m-spaceAnjana Bhattacharyya기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호

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