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On expansions of WNM t-norm based logics with truth-constants

AuthorsEsteva, Francesc CSIC ORCID ; Godo, Lluis CSIC ORCID ; Noguera, Carles CSIC ORCID
KeywordsMonoidal t-norm based logic (MTL)
Rational t-norm based logic
Weak nilpotent minimum logics (WNM)
Completeness results
Nilpotent minimum logic (NM)
Issue Date2010
CitationFuzzy Sets and Systems 161: 347- 368 (2010)
AbstractThis paper focuses on completeness results about generic expansions of propositional weak nilpotent minimum (WNM) logics with truth-constants. Indeed, we consider algebraic semantics for expansions of these logics with a set of truth-constants { over(r, -) | r ∈ C }, for a suitable countable C ⊆ [0, 1], and provide a full description of completeness results when: (i) the t-norm is a weak nilpotent minimum satisfying the finite partition property and (ii) the set of truth-constants covers all the unit interval in the sense that each interval of the partition contains values of C in its interior. © 2009 Elsevier B.V. All rights reserved.
Identifiersdoi: 10.1016/j.fss.2009.09.002
issn: 0165-0114
Appears in Collections:(IIIA) Artículos
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