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FUZZY ABYSMS OF HILBERT ALGEBRAS

전영배|이경자|박철환
한국수학교육학회|2008.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제4호|pp. 377-385

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참고문헌

키워드

(commutative) Hilbert algebra(fuzzy) subalgebra(fuzzy) deductive system(fuzzy) abysm.
주제분류수학

초록

The notion of fuzzy abysms in Hilbert algebras is introduced, and sev- eral properties are investigated. Relations between fuzzy subalgebra, fuzzy deductive systems, and fuzzy abysms are considered.

Abstract

The notion of fuzzy abysms in Hilbert algebras is introduced, and sev- eral properties are investigated. Relations between fuzzy subalgebra, fuzzy deductive systems, and fuzzy abysms are considered.

참고문헌 (13)

  1. D. Busneag, "A note on deductive systems of a Hilbert algebra", Kobe J. Math, 2, pp.29~35 (1985)
  2. D. Busnea, "Hilbert algebras of fractions and maximal Hilbert algebras of quotients", Kobe J. Math, 5, pp.161~172 (1988)
  3. "Hertz algebras of fractions and maximal Hertz algebras of quotients", Math. Japon, 39, pp.461~469 (1993)
  4. I. Chajda, "The lattice of deductive systems on Hilbert algebras", SEA Bull. Math, 26, pp.21~26 (2002)
  5. I. Chajda, "Annihilators and deductive systems in commutative Hilbert algebras", Comment. Math. Univ. Carolinae, 43(3), pp.407~417 (2002)
  6. A. Diego, "Sur les algebres de Hilbert", Collection de Logigue Math. Ser. A, 21, pp.1~52 (1966)
  7. W.A. Dudek, "On fuzzy ideals in Hilbert algebras", Novi Sad J. Math, 29(2), pp.193~207 (1999)
  8. Y.B. Jun, "Extensions of fuzzy deductive systems in Hilbert algebras", Fuzzy Sets and Systems, 79, pp.263~265 (1996)
  9. "Deductive systems of Hilbert algebras", Math. Jpn, 43(1), pp.51~54 (1996)
  10. "Commutative Hilbert algebras", Soochow J. Math, 22(4), pp.477~484 (1996)
  11. Y.B. Jun, "Fuzzy deductive systems of Hilbert algerbas", Indian J. Pure Appl. Math, 27(2), pp.141~151 (1996)
  12. Y.B. Jun, "The abysm of a Hilbert algerba", Sci. Math. Jpn, 65(1), pp.135~140 (2007)
  13. L.A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Central Hilbert Algebras박철환, 전영배한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS강민수, 김희식, 전영배대한수학회 · 대한수학회논문집2010 · 제25권 제4호Fuzzy ideals in demi-pseudocomplemented MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호Bipolar fuzzy hyper MV-deductive systems of hyper MV-algebras강민수대한수학회 · 대한수학회논문집2011 · 제26권 제2호GENERALIZED LUKASIEWICZ FUZZY SUBALGEBRAS OF BCI-ALGEBRAS AND BCK-ALGEBRASSUN SHIN AHN, YOUNG BAE JUN, Young Joo Seo강원경기수학회 · 한국수학논문집2025 · 제33권 제3호$L$-fuzzy ideals in universal algebrasBerhanu Assaye Alaba, Gezahagne Mulat Addis기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제1호

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