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In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of complete preferences in which the transitivity is defined for…

理论经济学 · 经济学 2023-06-06 Armajac Raventós-Pujol

Fuzzy implication functions have been widely investigated, both in theoretical and practical fields. The aim of this work is to continue previous works related to fuzzy implications constructed by means of non necessarily associative…

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

综合数学 · 数学 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

A characterization of flat ideals in the unit interval with the canonical fuzzy order is obtained with the help of the ordinal sum decomposition of continuous t-norms. This characterization will be useful in the study of topological and…

综合数学 · 数学 2018-01-19 Hongliang Lai , Dexue Zhang , Gao Zhang

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

人工智能 · 计算机科学 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

人工智能 · 计算机科学 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

We interpret a fuzzy set as a random availability function and provide sufficient conditions under which a preference relation over the set of all random availability functions can be represented by a utility function.

理论经济学 · 经济学 2025-05-06 Somdeb Lahiri

In this paper we establish a link between fuzzy and preferential semantics for description logics and Self-Organising Maps, which have been proposed as possible candidates to explain the psychological mechanisms underlying category…

人工智能 · 计算机科学 2022-02-07 Laura Giordano , Valentina Gliozzi , Daniele Theseider Dupré

Rosenfeld defined a fuzzy subgroup of group $G$ as a fuzzy subset of $G$ with two special conditions attached\cite{Rosenfeld1971Fuzzysubgroups}. In this paper, we introduce the fuzzy $t$-norms and vague $t$-norms. The unit interval with a…

综合数学 · 数学 2022-05-20 Haohao Wang , Bin Yang , Wei Li

In this work, we first define relations on the fuzzy parametrized soft sets and study their properties. We also give a decision making method based on these relations. In approximate reasoning, relations on the fuzzy parametrized soft sets…

逻辑 · 数学 2016-02-12 Irfan Deli , Naim Çağman

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

统计理论 · 数学 2019-12-23 Elvira Di Nardo , Rosaria Simone

Fuzzy rule based classification systems are one of the most popular fuzzy modeling systems used in pattern classification problems. This paper investigates the effect of applying nine different T-norms in fuzzy rule based classification…

人工智能 · 计算机科学 2012-08-10 Fahimeh Farahbod , Mahdi Eftekhari

How can non-classical logic contribute to the analysis of complexity in computer science? In this paper, we give a step towards this question, taking a logical model-theoretic approach to the analysis of complexity in fuzzy constraint…

逻辑 · 数学 2019-11-18 Pilar Dellunde , Amanda Vidal

In this paper we present the N-norms/N-conorms in neutrosophic logic and set as extensions of T-norms/T-conorms in fuzzy logic and set. Also, as an extension of the Intuitionistic Fuzzy Topology we present the Neutrosophic Topologies.

人工智能 · 计算机科学 2009-08-17 Florentin Smarandache

One of the main challenges in the area of Neuro-Symbolic AI is to perform logical reasoning in the presence of both neural and symbolic data. This requires combining heterogeneous data sources such as knowledge graphs, neural model…

人工智能 · 计算机科学 2024-03-06 Matthias Lanzinger , Stefano Sferrazza , Przemysław A. Wałęga , Georg Gottlob

Collocations are important for many tasks of Natural language processing such as information retrieval, machine translation, computational lexicography etc. So far many statistical methods have been used for collocation extraction. Almost…

计算与语言 · 计算机科学 2008-11-11 Raj Kishor Bisht , H. S. Dhami

In practice, a ranking of objects with respect to given set of criteria is of considerable importance. However, due to lack of knowledge, information of time pressure, decision makers might not be able to provide a (crisp) ranking of…

人工智能 · 计算机科学 2017-03-16 Jiří Mazurek

This article addresses the problem of expressing preferences in flexible queries while basing on a combination of the fuzzy logic theory and Conditional Preference Networks or CP-Nets.

人工智能 · 计算机科学 2013-12-24 Hanene Rezgui , Minyar Sassi-Hidri

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

计算机科学中的逻辑 · 计算机科学 2025-10-07 Raquel Fernandez-Peralta

In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a $t$-norm or a $t$-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the…

综合数学 · 数学 2022-05-23 Wei Li , Haohao Wang , Yuanhao Liu , Bin Yang
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