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- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제18권 제1호
- 발행연도
- 2019.1
- 수록면
- 57 - 74 (18page)
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We redefine the hesitant fuzzy empty set, the hesitant fuzzy whole set, the intersection and the union of two hesitant fuzzy sets, and prove that the family $HS(X)$ of all hesitant fuzzy sets in a set $X$ is a Boolean algebra. Next, we introduce the category ${\bf HSet}(H)$ consisting of hesitant $H$-fuzzy spaces and preserving mappings between them and study the category ${\bf HSet}(H)$ in the sense of a topological universe and prove that it is Cartesian closed over $\bf Set$, where $\bf Set$ denotes the category consisting of ordinary sets and ordinary mappings between them.
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참고문헌 (35)
참고문헌 신청
J. Adamek / 1986 / Cartesian closed categories, quasitopoi and topological universes / Comment. Math. Univ. Carlin. 27 (2) (1986) 235-257 27(2):235~257
K. T. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20:87~96
G. Birkho / 1967 / A. M. S. Colloquim Publication, Vol. 25 / American Mathematical Society
J. C. Carrega / 1983 / The category Set(H) and Fzz(H) / Fuzzy sets and systems 9:327~332
D. Coker / 1996 / A note on intuiyionistic sets and intuitionistic points / Tr. J. of Mathematics 20:343~351
K. T. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20:87~96
G. Birkho / 1967 / A. M. S. Colloquim Publication, Vol. 25 / American Mathematical Society
J. C. Carrega / 1983 / The category Set(H) and Fzz(H) / Fuzzy sets and systems 9:327~332
D. Coker / 1996 / A note on intuiyionistic sets and intuitionistic points / Tr. J. of Mathematics 20:343~351
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