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FILTER SPACES ON ECL-PREMONOIDS

Yong Chan Kim|김영희|Taewon Kang
한국수학교육학회|2018.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제4호|pp. 267-278|DOI https://doi.org/10.7468/jksmeb.2018.25.4.267

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참고문헌

키워드

GL-monoidcl-premonoidecl-premonoid(L*)-filters
주제분류수학

초록

In this paper, we introduce the notion of the (L; *)-filter spaces on ecl-premonoids. Moreover, we obtain various (L; *)-filters incuced by two (L; *)-filters and give their examples.

Abstract

In this paper, we introduce the notion of the (L; *)-filter spaces on ecl-premonoids. Moreover, we obtain various (L; *)-filters incuced by two (L; *)-filters and give their examples.

참고문헌 (10)

  1. R. Belohlavek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
  2. W. Gahler, "The general fuzzy lter approach to fuzzy topology I", Fuzzy Sets and Systems, 76, pp.205~224 (1995)
  3. W. Gahler, "The general fuzzy lter approach to fuzzy topology II", Fuzzy Sets and Systems, 76, pp.225~246 (1995)
  4. U. Hohle, "Mathematics of Fuzzy Sets, Logic, Topology and Measure Theory, Handbook of fuzzy set series" (1999), Kluwer Academic Publisher
  5. G. Jager, "Subcategories of lattice-valued convergence spaces", Fuzzy Sets and Systems, 156, pp.1~24 (2005)
  6. G. Jager, "Pretopological and topological lattice-valued convergence spaces", Fuzzy Sets and Systems, 158, pp.424~435 (2007)
  7. Jinming Fang, "Stratied L-order convergence structures", Fuzzy Sets and Systems, 161, pp.2130~2149 (2010)
  8. Y.C. Kim, "Images and preimages of L-lter bases", Fuzzy Sets and Systems, 173, pp.93~113 (2005)
  9. Y.C. Kim, "(L; )-quasiuniform convergence spaces", International Journal of Pure and Applied Mathematics
  10. D. Orpen, "Lattice-valued convergence spaces", Fuzzy Sets and Systems, 190, pp.1~20 (2012)

관련 논문AI추천

Prime $L$-fuzzy filters of a semilatticeB. Subrahmanyam, Ch. Santhi Sundar Raj, U. M. Swamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호(L,*,⊙)-quasiuniform Convergence SpacesJung Mi Ko, Yong Chan Kim한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호(L,*,⊙)-quasiuniform Convergence Spaces induced by OperatorJung Mi Ko, Yong Chan Kim한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제2호INITIAL SOFT L-FUZZY PREPROXIMITIES김영선, Yong Chan Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호Alexandrov L-preuniform filter spacesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제1호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호

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