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Left and Right Coresiduated Lattices

오주목
한국수학교육학회|2024.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제31권 제4호|pp. 387-400|DOI 10.7468/jksmeb.2024.31.4.387

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참고문헌

키워드

pseudo t-conormspairs of negationsleft (resp. rightgeneralized) coresiduated lattices
주제분류수학

초록

In this paper, we introduce the pairs of negations and pseudo t-conorms on lattices. As a noncommutative sense, we de ne left and right oresiduated lattices which are an algebraic structure to deal information systems. We investigate their properties and construct them. Moreover, we give their examples.

Abstract

In this paper, we introduce the pairs of negations and pseudo t-conorms on lattices. As a noncommutative sense, we de ne left and right oresiduated lattices which are an algebraic structure to deal information systems. We investigate their properties and construct them. Moreover, we give their examples.

참고문헌 (15)

  1. R. B·elohlavek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
  2. R. B·elohlavek, "Fuzzy Galois connection", Math. Log. Quart, 45, pp.497~504 (2000)[DOI]
  3. R. B·elohlavek, "Lattices of fixed points of Galois connections", Math. Logic Quart, 47, pp.111~116 (2001)[DOI]
  4. P. Flonder, "Pseudo-t-norms and pseudo-BL-algebras", Soft Computing, 5, pp.355~371 (2001)[DOI]
  5. G. Georgescu, "Non-commutative Galois connections", Soft Computing, 7, pp.458~467 (2003)[DOI]
  6. G. Georgescu, "Non-commutative fuzzy structures and pairs of weak nega-tions", Fuzzy Sets and Systems, 143, pp.129~155 (2004)[DOI]
  7. P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
  8. U. HÄohle, "The Handbooks of Fuzzy Sets Series 3" (1999), Kluwer Academic Publishers
  9. Q. Junsheng, "On (ʘ; &)-fuzzy rough sets based on residuated and co-residuated lattices", Fuzzy Sets and Systems, 336, pp.54~86 (2018)[DOI]
  10. Y.H. Kim, "Fuzzy concept lattices induced by doubly distance spaces", Fuzzy Sets and Systems, 473, pp.1~18 (2023)[DOI]
  11. J.M. Ko, "Bi-closure systems and bi-closure operators on generalized resid-uated lattices", Journal of Intelligent and Fuzzy Systems, 36, pp.2631~2643 (2019)[DOI]
  12. J. M. Ko, "Various operations and right completeness in generalized residuated lattices", Journal of Intelligent and Fuzzy Systems, 40, pp.149~164 (2021)[DOI]
  13. J.M. Oh, "Various fuzzy connections and fuzzy concepts in complete co-residuated lattices", Int. J. Approx. Reasoning, 142, pp.451~468 (2022)[DOI]
  14. E. Turunen, "Mathematics Behind Fuzzy Logic" (2001), Springer-Verlag Co
  15. M. Ward, "Residuated lattices", Trans. Amer. Math. Soc, 45, pp.335~354 (1939)[DOI]

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