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Filters of MTL-algebras based on vague set theory

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In this paper, we introduce the concept of a vague filter of MTL-algebra, and then some related properties are investigated.

Abstract

In this paper, we introduce the concept of a vague filter of MTL-algebra, and then some related properties are investigated.

참고문헌 (13)

  1. R. Biswas, "Vague groups", Internat. J. Comput. Cognition, 4(2), pp.20~23 (2006)
  2. F. Esteva, "Monoidal t-norm based logic: towards a logic for left-continuoust-norms", Fuzzy Sets and Systems, 124, pp.271~288 (2001)
  3. W. L. Gau, "Vague sets", IEEE Transactions on Systems, Man and Cybernetics, 23, pp.610~614 (1993)
  4. P. Hajek, "Metamathematics of Fuzzy Logic" (1998), Kluwer Academic Press
  5. Y. B. Jun, "Fuzzy filters of MTL-algebras", Inform. Sci, 175, pp.120~138 (2005)
  6. Y. B. Jun, "Vague ideals of subtraction algebras", Int. Math. Forum, 2(59), pp.2919~2926 (2007)
  7. K. H. Kim, "On fuzzy lters of MTL-algebras", J. Fuzzy Math, 10(4), pp.981~989 (2002)
  8. Chul Hwan Park, "Vague deductive systems of subtraction algebras", Journal of Applied Mathematics and Informatics, 26(1-2), pp.427~436 (2008), 한국전산응용수학회
  9. D. Pei, "On equivalent forms of fuzzy logic systems NM and IMTL", Fuzzy Sets and Systems, 138, pp.187~195 (2003)
  10. E. Turunen, "BL-algebras of basic fuzzy logic", Mathware & Soft Computing, 6, pp.49~61 (1999)
  11. X. H. Zhang, "Ultra LI-ideals in lattice implication algebras and MTL-algebras", Czechoslovak Mathematical Journal, 57(132), pp.591~605 (2007)
  12. X. H. Zhang, "On filters in MTL-algebras"
  13. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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