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Regular Partial Residuated Lattices and Their Filters
Mathematics, 2022 To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
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Fuzzy Prime Ideal Theorem in Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2021 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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The Relations among Fuzzy t-Filters on Residuated Lattices [PDF]
The Scientific World Journal, 2014 We give the simple general principle of studying the relations among fuzzy t-filters on residuated lattices. Using the general principle, we can easily determine the relations among fuzzy t-filters on different logical algebras.
Huarong Zhang, Qingguo Li
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Classes of Int-Soft Filters in Residuated Lattices [PDF]
The Scientific World Journal, 2014 The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be
Young Bae Jun +2 more
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Characterizations of Some Fuzzy Prefilters (Filters) in EQ-Algebras [PDF]
The Scientific World Journal, 2014 We introduce and study some types of fuzzy prefilters (filters) in EQ-algebras. First, we present several characterizations of fuzzy positive implicative prefilters (filters), fuzzy implicative prefilters (filters), and fuzzy fantastic prefilters ...
Xiao Long Xin +2 more
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On Semitopological De Morgan Residuated Lattices [PDF]
Transactions on Fuzzy Sets and Systems, 2023 The class of De Morgan residuated lattices was introduced by L. C. Holdon (Kybernetika 54(3):443-475, 2018), recently, many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 more
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Some properties of state filters in state residuated lattices [PDF]
Mathematica Bohemica, 2021 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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On the impact of sup‐compositions in the resolution of multi‐adjoint relation equations
Mathematical Methods in the Applied Sciences, Volume 46, Issue 14, Page 15581-15598, 30 September 2023., 2023 Multi‐adjoint relation equations are defined by means of a sup‐composition operator involving different conjunctions. Former works reveal that the resolution of a multi‐adjoint relation equation is closely related to such conjunctions. This paper presents a first approach on the study of the influence of the selection of a sup‐composition operator in ...
David Lobo +2 more
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On Subtractive Derivations of Rl‐Monoids
Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023 This paper is intended to introduce the subtractive derivations and study some of their algebraic properties on Rl‐monoids. Also, we give some characterizations of subtractive derivations on the Gödel center. Moreover, Gödel algebras are characterized by a fixed set of subtractive derivations.
Yu Gao, Bingfang Li, Jun Tao Wang
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