منابع مشابه
Very true operators in effect algebras
We introduce the concept of very true operator on an effect algebra. Although an effect algebra is only partial, we define it in the way which is in accordance with traditional definitions in residuated lattices or basic algebras. This is possible if we require monotonicity as an additional condition. We prove that very true operators on effect algebras can be characterized by means of certain ...
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In this paper, based on Hájek, Vychodil, Rachunek and Šalounová’s works, we study the concept of v-filters of residuated lattices with weak vt-operators, axiomatize very true operators, discuss filters and v-filters of residuated lattices with weak vt-operator, give the formulas for calculating the v-filters generated by subsets, and show that lattice of v-filters of a commutative residuated la...
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The study of perfect, local and bipartite IMTL-algebras presented in [29] is generalized in this paper to the general non-involutive case, i. e. to MTL-algebras. To this end we describe the radical of MTL-algebras and characterize perfect MTL-algebras as those for which the quotient by the radical is isomorphic to the two-element Boolean algebra, and a special class of bipartite MTL-algebras, B...
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The notion of (Boolean) uni-soft filters in MTL-algebras is introduced, and several properties of them are investigated. Characterizations of (Boolean) uni-soft filters are discussed, and some (necessary and sufficient) conditions for a uni-soft filter to be Boolean are provided. The condensational property for a Boolean uni-soft filter is established.
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The fuzzy truth value \very true" is formalized as a unary connective (hedge). A complete axiomatization is presented.
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2016
ISSN: 2391-5455
DOI: 10.1515/math-2016-0086