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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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Fixed-point conjunctive left-continuous idempotent uninorms have been introduced (see e.g. [2, 3]). This paper studies a system for such uninorms. More exactly, one system obtainable from IUML (Involutive uninorm mingle logic) by dropping involution (INV), called here WUML (Weak Uninorm Mingle Logic), is first introduced. This is the system of fixed-point conjunctive left-continuous idempotent uninorms and their residua with weak negation. Algebraic structures corresponding to the system, i.e., WUML-algebras, are then defined, and algebraic completeness is provided for the system. Standard completeness is further established for WUML and IUML in an analogy to that of WNM (Weak nilpotent minimum logic) and NM (Nilpotent minimum logic) in [4].
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참고문헌 (10)
참고문헌 신청
Cintula, P. / 2006 / Weakly Implicative (Fuzzy) Logics I: Basic properties / Archive for Mathematical Logic : 673 ~ 704
De Baets, B. / 1999 / Idempotent uninorms / European Journal of Operational Research 118 : 631 ~ 642
De Baets, B. / 1999 / Residual operators of uninorms / Soft Computing 3 : 89 ~ 100
Esteva, F. / 2001 / Monoidal t-norm based logic: towards a logic for left-continous t-norms / Fuzzy Sets and Systems 124 : 271 ~ 288
Galatos, N. / 2007 / Residuated lattices: an algebraic glimpse at substructural logics / Elsevier
De Baets, B. / 1999 / Idempotent uninorms / European Journal of Operational Research 118 : 631 ~ 642
De Baets, B. / 1999 / Residual operators of uninorms / Soft Computing 3 : 89 ~ 100
Esteva, F. / 2001 / Monoidal t-norm based logic: towards a logic for left-continous t-norms / Fuzzy Sets and Systems 124 : 271 ~ 288
Galatos, N. / 2007 / Residuated lattices: an algebraic glimpse at substructural logics / Elsevier
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