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Bochner integrals in ordered vector spaces. [PDF]
Positivity (Dordr), 2017 We present a natural way to cover an Archimedean directed ordered vector space $E$ by Banach spaces and extend the notion of Bochner integrability to functions with values in $E$.
van Rooij ACM, van Zuijlen WB.
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Some New Structures in Neutrosophic Metric Spaces [PDF]
Neutrosophic Sets and Systems, 2021 Neutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm in intuitionistic fuzzy metric spaces.
M. Jeyaraman +3 more
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Formal balls of Q-categories [PDF]
Categories and General Algebraic Structures with Applications, 2023 The construction of the formal ball model for metric spaces due to Edalat and Heckmann was generalized to Q-categories by Kostanek and Waszkiewicz, where Q is a commutative and unital quantale.
Xianbo Yang, Dexue Zhang
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Archimedean-Compensatory Fuzzy Logic Systems [PDF]
International Journal of Computational Intelligence Systems, 2015 The paper aims to define a new kind of logic, referred to as Archimedean-Compensatory Logic, which is constructed from the unification of two different fuzzy logic systems, namely a continuous Archimedean fuzzy logic and a compensatory fuzzy logic.
Rafael A. Espin-Andrade +3 more
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Aggregation of Indistinguishability Fuzzy Relations Revisited
Mathematics, 2021 Indistinguishability fuzzy relations were introduced with the aim of providing a fuzzy notion of equivalence relation. Many works have explored their relation to metrics, since they can be interpreted as a kind of measure of similarity and this is, in ...
Juan-De-Dios González-Hedström +2 more
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Differential inequality conditions for dominance between continuous Archimedean t-norms [PDF]
Mathematical Inequalities & Applications, 2009 Dominance between triangular norms (t-norms) is a versatile relationship. For continuous Archimedean t-norms, dominance can be verified by checking one of many sufficient conditions derived from a generalization of the Mulholland inequality. These conditions pertain to various convexity properties of compositions of additive generators and their ...
Susanne Saminger-Platz +2 more
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Relaxed Indistinguishability Relations and Relaxed Metrics: The Aggregation Problem
Axioms, 2022 The main purpose of this paper is to study the relationship between those functions that aggregate relaxed indistinguishability fuzzy relations with respect to a collection of t-norms and those functions that merge relaxed pseudo-metrics, extending the ...
Juan-De-Dios González-Hedström +2 more
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T-Equivalences: The Metric Behavior Revisited
Mathematics, 2020 Since the notion of T-equivalence, where T is a t-norm, was introduced as a fuzzy generalization of the notion of crisp equivalence relation, many researchers have worked in the study of the metric behavior of such fuzzy relations.
Pilar Fuster-Parra +3 more
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A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics
Mathematics, 2020 In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori +2 more
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On Fuzzy Strong $\mathrm{\phi-b-}$Normed Spaces and Fuzzy Strong $\mathrm{\phi-b-}$Normed Algebras [PDF]
Sahand Communications in Mathematical AnalysisGiven a continuous Archimedean t-norm and its corresponding continuous additive generator, we introduce a new approach to generate a fuzzy strong $\phi-b-$norm (FS$-\phi-b-$N).
Rasoul Tourani, Ali Reza Khoddami
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