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- aggregation classification "P1".
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2006".
- aggregation hasFormat 414997.bibtex.
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- aggregation isPartOf urn:isbn:3-540-47693-8.
- aggregation isPartOf urn:issn:0302-9743.
- aggregation language "eng".
- aggregation publisher "Springer".
- aggregation subject "Science General".
- aggregation title "Triangle algebras: towards an axiomatization of interval-valued residuated lattices".
- aggregation abstract "In this paper, we present triangle algebras: residuated lattices equipped with two modal, or approximation, operators and with a third angular point u, different from 0 (false) and 1 (true), intuitively denoting ignorance about a formula’s truth value. We prove that these constructs, which bear a close relationship to several other algebraic structures including rough approximation spaces, provide an equational representation of interval-valued residuated lattices; as an important case in point, we consider L^I , the lattice of closed intervals of [0, 1]. As we will argue, the representation by triangle algebras serves as a crucial stepping stone to the construction of formal interval-valued fuzzy logics, and in particular to the axiomatic formalization of residuated t-norm based logics on L^I , in a similar way as was done for formal fuzzy logics on the unit interval.".
- aggregation authorList BK295075.
- aggregation endPage "126".
- aggregation startPage "117".
- aggregation volume "4259".
- aggregation isDescribedBy 414997.
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