본문 바로가기
KERD
논문KCI 등재

The category of neutrosophic crisp sets

이정곤|김준희|K.Hur|P.K.LIM
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.07|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제14권 제1호|pp. 43-54|DOI 10.30948/afmi.2017.14.1.43

4

조회

0

다운로드

5

인용

0

참고문헌

키워드

Cartesian closed categoryNeutrosophic crisp setTopological uni- verse

초록

We introduce the category $\bf NCSet$ consisting of neutrosophic crisp sets and morphisms between them. And we study $\bf NCSet$ 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.

Abstract

We introduce the category $\bf NCSet$ consisting of neutrosophic crisp sets and morphisms between them. And we study $\bf NCSet$ 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.

참고문헌 (20)

  1. K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  2. J. C. Carrega, "The category Set(H)and Fzz(H)", Fuzzy sets and systems, 9, pp.327~332 (1983)
  3. E. J. Dubuc, "Concrete quasitopoi Applications of Sheaves, Proc. Dunham1977", Lect. Notes in Math, 753, pp.239~254 (1979)
  4. M. Eytan, "Fuzzy sets : a topological point of view", Fuzzy sets and systems, 5, pp.47~67 (1981)
  5. J. A. Goguen, "Categories of V-sets", Bull. Amer. Math. Soc, 75, pp.622~624 (1969)
  6. H. Herrlich, "Catesian closed topological categories", Math. Coll. Univ. Cape Town, 9, pp.1~16 (1974)
  7. K. Hur, "A Note on the category Set(H)", Honam Math. J, 10, pp.89~94 (1988)
  8. 허걸, "Intuitionistic H-Fuzzy Sets", 순수 및 응용수학, 12(1), pp.33~45 (2005), 한국수학교육학회
  9. C. Y. Kim, "Algebras in Cartesian closed topological categories", Lecture Note Series, 1 (1985)
  10. 임평기, "The Category V Set(H)", International Journal of Fuzzy Logic and Intelligent systems, 10(1), pp.73~81 (2010), 한국지능시스템학회
  11. L. D. Nel, "Topological universes and smooth Gelfand Naimark duality, mathematical applica-tions of category theory, Prc. A. M. S. Spec. Sessopn Denver,1983", Contemporary Mathematics, 30, pp.224~276 (1984)
  12. A. M. Pittes, "Fuzzy sets do not form a topos", Fuzzy sets and Systems, 8, pp.338~358 (1982)
  13. D. Ponasse, "Some remarks on the category Fuz(H)of M. Eytan", Fuzzy sets and Systems, 9, pp.199~204 (1983)
  14. D. Ponasse, "Categorical studies of fuzzy sets", Fuzzy sets and Systems, 28, pp.235~244 (1988)
  15. "Said Broumi and Florentin Smarandache, Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals, in Neutrosophic Theory and Its Applications. Collected Papers, Vol. I" (2014)[URL]
  16. A. A. Salama, "Said Broumi and Florentin Smarandache, Some Types of Neutrosophic Crisp Sets and Neutrosophic Crisp Relations, in Neutrosophic Theory and Its Applications. Collected Papers, Vol. I", pp.378~385 (2014), EuropaNova asbl
  17. A. A. Salama, "Neutrosophic Crisp Set Theory" (2015), The Educational Publisher Columbus
  18. A. A. Salama, "Florentin Smarandache and Valeri Kroumov, Neutrosophic Crisp Sets and Neu-trosophic Crisp Topological Spaces, in Neutrosophic Theory and Its Applications. Collected Papers, Vol. I", pp.206~212 (2014), EuropaNova asbl
  19. F. Smarandache, "Neutrosophy Neutrisophic Property, Sets, and Logic" (1998), Amer Res Press
  20. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

The category of intuitionistic sets허걸, 김준희, 이정곤, 임평기기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제6호The category of hesitant $H$-fuzzy sets허걸, 김준희, 이정곤, 임평기, 전영배기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제1호Intuitionistic neutrosophic crisp sets and their application to topology허걸, 김준희, 양다희, 이정곤기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제2호ON THE WEAK NATURAL NUMBER OBJECT OF THE WEAK TOPOS FUZ김익성한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호Interval-valued relations and their application to category theory허걸, 백종일, 정민석, 한상현기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제3호Intuitionistic fuzzy topological spaces: Categorical conceptsEssam Hamouda기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호

이 간행물의 다른 논문 (6건)

Application of intuitionistic neutrosophic graph structures in decision-makingMuhammad Akram, Muzzamal Sitarapp. 1-27Neutrosophic quadruple algebraic hyperstructuresF. Smarandache, A. A. A. Agboola,, B. Davvazpp. 29-42Special types of bipolar single valued neutrosophic graphsAssia Bakali, F. Smarandache, Ali Hassan, Muhammad Aslam Malik, Said Broumi, Mohamed Taleapp. 55-73Neutrosophic subalgebras of several types in $BCK/BCI$-algebras정영배pp. 75-86Neutrosophic subalgebras of $BCK/BCI$-algebras based on neutrosophic points전영배, Arsham Borumand Saeidpp. 87-97
원문 보기