Results 31 to 40 of about 831 (158)
Some results on ideals via homomorphisms in BL-algebras [PDF]
Journal of HyperstructuresIn this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ...
Fateme Alinaghian +2 more
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Discussiones Mathematicae - General Algebra and Applications, 2011 In this paper, we introduce the notion of a bi-BL-algebra, bi-filter, bideductive system and bi-Boolean elements of a bi-BL-algebra and deal with bi-filters in bi-BL-algebra. We study this structure and construct the quotient of bi-BL-algebra. Also present a classification for examples of proper bi-BL-algebras.
Mahdeieh Abbasloo, Arsham Saeid
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A note on drastic product logic [PDF]
, 2014 The drastic product $*_D$ is known to be the smallest $t$-norm, since $x *_D y = 0$ whenever $x, y < 1$. This $t$-norm is not left-continuous, and hence it does not admit a residuum.
B. Schweizer +9 more
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Filomat, 2018 We put forth the concept of hyper BL-algebras which is a generalization of BL-algebras. We give some non-trivial examples and properties of hyper BL-algebras. Moreover, we introduce weak filters and weak deductive systems of hyper BL-algebras and study the relationships between them.
Xin, Xiao Long +2 more
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A representation theorem for integral rigs and its applications to residuated lattices [PDF]
, 2015 We prove that every integral rig in Sets is (functorially) the rig of global sections of a sheaf of really local integral rigs. We also show that this representation result may be lifted to residuated integral rigs and then restricted to varieties of ...
Botero, W. J. Zuluaga +2 more
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Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras
, 2008 We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras and investigate some of ...
A Di Nola +37 more
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Journal of Applied Logic, 2010 In this paper we define the Smarandache BL-algebra, Q -Smarandache ideal and Q - Smarandache implicative ideal, we obtain some related results. After that by considering the notions of these ideals we determine relationships between ideals in BL-algebra and Q -Smarandache (implicative) ideals of BL-algebra.
Borumand Saeid, A. +2 more
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, 2018 Fuzzy Epistemic Logic is an important formalism for approximate reasoning. It extends the well known basic propositional logic BL, introduced by H jek, by offering the ability to reason about possibility and necessity of fuzzy propositions. We consider an algebraic approach to study this logic, introducing Epistemic BL-algebras. These algebras turn to
Busaniche, Manuela +2 more
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Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if
Paad Akbar
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PSEUDO MV-ALGEBRAS SI PSEUDO BL-ALGEBRAS [PDF]
Fiabilitate şi Durabilitate, 2013 This material is studying MV-algebras and BL-algebras in terms of applicability in Boolealgebra.Boole algebras expanded use in fuzzy logic.
Constantin BOGDAN +1 more
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