Results 81 to 90 of about 673,590 (252)
Non-commutative residuated lattices [PDF]
Transactions of the American Mathematical Society, 1939 In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
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Residuation in lattice effect algebras [PDF]
Fuzzy Sets and Systems, 2020 We introduce the concept of a quasiresiduated lattice and prove that every lattice effect algebra can be organized into a commutative quasiresiduated lattice with divisibility. Also conversely, every such a lattice can be converted into a lattice effect algebra and every lattice effct algebra can be reconstructed form its assigned quasiresiduated ...
Ivan Chajda, Helmut Länger
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A Unified Algebraic Framework for Fuzzy Image Compression and Mathematical Morphology
, 2009 In this paper we show how certain techniques of image processing, having different scopes, can be joined together under a common "algebraic roof"
A. Nola Di +7 more
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The Spectral Space of H‐Fuzzy Prime Ideals in Distributive Join‐Semilattices
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The essential characteristics of H‐fuzzy prime ideals and H‐fuzzy maximal ideals within distributive join‐semilattices are introduced and examined in this work. We present a number of characterization theorems and prove findings related to the prime ideal theorem. We show that every H‐fuzzy prime ideal (or H‐fuzzy maximal ideal) has exactly two values:
Mohammed Amare Mohammed +4 more
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Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu +4 more
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Fuzzy decision implications: interpretation within fuzzy decision context
CAAI Transactions on Intelligence Technology, Volume 4, Issue 4, Page 231-236, December 2019., 2019 Fuzzy decision implication is an extension of decision implication in the fuzzy setting, serving to uncover the dependencies of fuzzy attributes. This study presents the interpretation of fuzzy decision implication in the fuzzy decision context. Specially, they will show that from fuzzy decision contexts one can obtain a closed fuzzy set of fuzzy ...
Jing Zhang, Yanhui Zhai, Deyu Li
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On L-fuzzy approximation operators and L-fuzzy relations on residuated lattices
Journal of Algebraic Hyperstructures and Logical Algebras, 2023 We consider properties of L-fuzzy relations and L-normal operators for a residuated lattice L in detail and show that the class RL(U) of all L-fuzzy relations on U and the class NL(U) of all L-normal operators are residuated lattices and they are ...
M. Kondo
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Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
Mathematics, 2022 General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
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Kragujevac Journal of MathematicsThis paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A combination of algebraic and topological methods is applied to obtain new and structural results on mp-residuated lattices.
Rasouli, Saeed, Dehghani, Amin
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