Results 11 to 20 of about 1,853 (178)
Fuzzy Prime Ideal Theorem in Residuated Lattices
This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne +2 more
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Pure Ideals in Residuated Lattices [PDF]
Ideals in MV algebras are, by definition, kernels of homomorphism. An ideal is the dual of a filter in some special logical algebras but not in non-regular residuated lattices.
Istrata Mihaela
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ℒ-Fuzzy Cosets of ℒ-Fuzzy Filters of Residuated Multilattices
This paper mainly focuses on building the ℒ-fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ-fuzzy filter and ℒ-fuzzy deductive system of residuated multilattices.
Pierre Carole Kengne +3 more
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The Notions of Fuzzy Set on Pseudo Quasi Ordered Residuated Systems [version 2; peer review: 3 approved] [PDF]
This paper introduces the concept of fuzzy filters and 2-fuzzy filters of a quasi-ordered residuated system K . This research explores comparative, normal, implicative and associative fuzzy filters within a quasi-ordered residuated system. It establishes
Teferi Getachew Alemayehu +1 more
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On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras.
Francis Woumfo +3 more
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Nilpotent Elements of Residuated Lattices [PDF]
Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained.
Shokoofeh Ghorbani, Lida Torkzadeh
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In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation.
Zahiri Saeide, Saeid Arsham Borumand
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Let \(R\) be any commutative ring with unity, and let \(L\) be the lattice of the ideals of \(R\). It is known that \(L\) is a modular lattice. The authors announce further conditions on \(L\); for example, if \(L\) is complemented, then it is a Boolean algebra -- thus it cannot be a non-trivial projective geometry.
Ward M, Dilworth RP.
europepmc +6 more sources
Some properties of state filters in state residuated lattices [PDF]
We consider properties of state filters of state residuated lattices and prove that for every state filter $F$ of a state residuated lattice $X$: \begin{itemize} \item[(1)] $F$ is obstinate $\Leftrightarrow$ $L/F \cong\{0,1\}$; \item[(2)] $F$ is primary $
Michiro Kondo
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Residuation in twist products and pseudo-Kleene posets [PDF]
M. Busaniche, R. Cignoli (2014), C. Tsinakis and A. M. Wille (2006) showed that every residuated lattice induces a residuation on its full twist product. For their construction they used also lattice operations.
Ivan Chajda, Helmut Länger
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