바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Kim, Myeong-Hwan

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

Reference

1.

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

2.

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

3.

(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.

4.

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

5.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics