$s$-$b$-open sets and its applications in fuzzy setting
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In this paper we first introduce fuzzy $s$-$b$-open set, the class of which is strictly larger than that of fuzzy open, fuzzy semiopen, fuzzy preopen, fuzzy $\alpha$-open, fuzzy $\beta$-open set. Using this newly defined fuzzy set here we introduce a weak form of fuzzy regularity, a strong form of fuzzy compactness and fuzzy $T_{2}$-space. Afterwards, we introduce three different types of fuzzy continuous-like functions and establish the mutual relationships of these newly defined functions with fuzzy continuity. Lastly several applications of these functions are established here.
Abstract
In this paper we first introduce fuzzy $s$-$b$-open set, the class of which is strictly larger than that of fuzzy open, fuzzy semiopen, fuzzy preopen, fuzzy $\alpha$-open, fuzzy $\beta$-open set. Using this newly defined fuzzy set here we introduce a weak form of fuzzy regularity, a strong form of fuzzy compactness and fuzzy $T_{2}$-space. Afterwards, we introduce three different types of fuzzy continuous-like functions and establish the mutual relationships of these newly defined functions with fuzzy continuity. Lastly several applications of these functions are established here.
참고문헌 (20)
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