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Triangular Normed Fuzzification of (Implicative) Filters in Lattice Implication Algebras

천기상|Seok-Zun Song|Leroy B. Beasley|Young-Bae Jun
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 177-189

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참고문헌

키워드

lattice implication algebraT-productT-fuzzy(implicative) filter
주제분류수학

초록

We obtain characterizations of T-fuzzy (implicative) filters and some properties of T-product of fuzzy (implicative) filters in lattice implication algebras. We also establish the extension property for T-fuzzy implicative filters.

Abstract

We obtain characterizations of T-fuzzy (implicative) filters and some properties of T-product of fuzzy (implicative) filters in lattice implication algebras. We also establish the extension property for T-fuzzy implicative filters.

참고문헌 (15)

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  4. "On n-fold implicative lters of lattice implication algebras", 26(11), pp.695~699 (2001)
  5. "LI-ideals in lattice implication algebras", 35(1), pp.13~24 (1998)
  6. "Positive implicative and associative lters of latticeimplication algebras", 35(1), pp.5361~ (1998)
  7. "On ultra lters of lattice implication algebras", 2(2), pp.201~204 (1999)
  8. "Chinese QuarterlyJ. Math.", 11(4), pp.106~111 (1996)
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  10. "Studia Logica", 46 1, pp.87109~ (1982)
  11. B. Schweizer, "Statistical metric spaces", 10 (1960)
  12. "Lattice implication algebras", 1 (1993)
  13. "Lattice H implication algebras and lattice implication algebra classes", 3 (1992)
  14. Y. Xu, "J. Fuzzy Math.", 1 2 (1993)
  15. "Fuzzy lattice implication algebras", 30(2) (1995)

관련 논문AI추천

Int-soft filters in lattice implication algebrasYang Xu, YOUNG BAE JUN대한수학회 · 대한수학회보2016 · 제53권 제5호On fuzzy implicative filters of lattice implication algebrasEun Hwan Roh$, Qun Zhang, Yiquan Zhu대한수학회 · 대한수학회논문집2003 · 제18권 제4호BCK-filters Based on Fuzzy Points with Thresholds노은환, 송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호Filters of MTL-algebras based on vague set theory박영식, 박철환영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Filters of residuated lattices based on soft set theory노은환, 박철환, 이경자, 전영배대한수학회 · 대한수학회논문집2015 · 제30권 제3호IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS송석준, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호

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