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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2012, v.19 no.3, pp.263-271

https://doi.org/10.7468/jksmeb.2012.19.3.263

Min, Won-Keun (Department of Mathematics, Kangwon National University)
Kim, Myeong-Hwan (Department of Mathematics, Kangwon National University)

Min, Won-Keun, & Kim, Myeong-Hwan. (2012). FUZZY γ-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 19(3), 263-271, https://doi.org/10.7468/jksmeb.2012.19.3.263

복사

Abstract

We introduce the concept of fuzzy <TEX>$r$</TEX>-minimal <TEX>${\beta}$</TEX>-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy <TEX>$r-M$</TEX> <TEX>${\beta}$</TEX>-continuous mapping which is a generalization of fuzzy <TEX>$r-M$</TEX> continuous mapping and fuzzy <TEX>$r-M$</TEX> semicontinuous mapping, and investigate characterization for the continuity.

keywords: fuzzy minimal structures, <tex> $r$</tex>-minimal open, <tex> $r$</tex>-minimal <tex> ${\beta}$</tex>-open, fuzzy <tex> $r-M$</tex> continuous, fuzzy <tex> $r-M$</tex> <tex> ${\beta}$</tex>-continuous

참고문헌

(1968). Fuzzy topological spaces. J. Math. Anal. Appl., 24, 182-190. 10.1016/0022-247X(68)90057-7.

(1992). Smooth topological spaces. Fuzzy Sets and Systems, 48, 371-375. 10.1016/0165-0114(92)90352-5.

(2009). Fuzzy r-minimal semiopen sets and fuzzy r-M semicontinuous functions on fuzzy r-minimal spaces (49-52). Proceedings of KIIS Spring Conference 2009.

(2009). Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces. Far East Journal of Mathematical Sciences, 33(2), 193-205.

(1965). Fuzzy sets. Information and Control, 8, 338-353. 10.1016/S0019-9958(65)90241-X.

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Vol.19 No.3

FUZZY γ-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES

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

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학