Results 71 to 80 of about 1,853 (178)
THE STRUCTURE OF RESIDUATED LATTICES [PDF]
International Journal of Algebra and Computation, 2003 A residuated lattice is an ordered algebraic structure [Formula: see text] such that <L,∧,∨> is a lattice, <L,·,e> is a monoid, and \ and / are binary operations for which the equivalences [Formula: see text] hold for all a,b,c ∈ L. It is helpful to think of the last two operations as left and right division and thus the equivalences can be
Blount, Kevin, Tsinakis, Constantine
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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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Weak Inflationary BL-Algebras and Filters of Inflationary (Pseudo) General Residuated Lattices
Mathematics, 2022 After the research on naBL-algebras gained by the non-associative t-norms and overlap functions, inflationary BL-algebras were also studied as a recent kind of non-associative generalization of BL-algebras, which can be obtained by general overlap ...
Xiaohong Zhang +2 more
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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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Computational reaching of quantified consequences from imperfect initial data
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4232-4243, 15 March 2025.Usually, it is not direct to translate theoretical results to practice. One of the challenges is the real computation of solutions to proposed problems, when infinite numbers (such as real numbers or the unit interval) are considered. The same is true when consequences (information) from a data set modeled by logical rules need to be obtained.
Jesús Medina +1 more
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Studying the Theory of Hoops Through Some Type of Filters
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis +2 more
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Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
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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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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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