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Construction of aggregation operators with noble reinforcement [PDF]
, 2007 This paper examines disjunctive aggregation operators used in various recommender systems. A specific requirement in these systems is the property of noble reinforcement: allowing a collection of high-valued arguments to reinforce each other while ...
Beliakov, Gleb, Calvo, Tomasa
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Plithogenic sets and their application in decision making [PDF]
Neutrosophic Sets and Systems, 2020 There are various mathematical tools available to measure the level of accuracy such as Crisp, Fuzzy, Intuitionistic fuzzy sets and Neutosophic set. Further, Plithogenic set is a generalization of these four sets.
S.Gomathy +3 more
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Implication functions in interval-valued fuzzy set theory [PDF]
, 2013 Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
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Heliyon, 2023 In many decision-making situations, we are not restricted to two kinds of aspects, such as membership degree or nonmembership degree, and sometimes we need to include the abstinence degree (AD). However, many fuzzy set theories fail to cover issues, such
Xiaopeng Yang +3 more
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Vague and fuzzy t-norms and t-conorms
Fuzzy Sets and Systems, 2022 t-norms and t-conorms are the natural connectives “and” and “or” in fuzzy logic. The unit interval with a t-norm or a t-conorm is a special monoid and some submonoids like discrete t-norms and t-conorms have been proved useful in many cases. In the first part of this article these submonoids will be fuzzified to fuzzy t-subnorms and fuzzy t-subconorms ...
Boixader Ibáñez, Dionís +1 more
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On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm
International Journal of Mathematics and Mathematical Sciences, 2006 We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with ...
M. Akram, Jianming Zhan
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SN Applied Sciences, 2023 This paper aims to develop distance and similarity measures for (p, q)-fuzzy sets from t-norms and t-conorms. It showcases a way to generate these measures from a given t-norm or a t-conorm operator. These newly developed distance and similarity measures
Aparna Sivadas, Sunil Jacob John
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On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 The purpose of this article is to introduce the triple sequences and its convergence over instuitionistic fuzzy metric space (\textbf{IFMS}). The article also discusses ideal convergence of triple sequences, the uniqueness of ideal limits, the ...
Shailendra Pandit, Ayaz Ahmad, Ayhan Esi
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Resolution in Linguistic Propositional Logic based on Linear Symmetrical Hedge Algebra [PDF]
, 2013 The paper introduces a propositional linguistic logic that serves as the basis for automated uncertain reasoning with linguistic information. First, we build a linguistic logic system with truth value domain based on a linear symmetrical hedge algebra ...
C.-H. Nguyen +13 more
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Complex & Intelligent Systems, 2023 The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information.
Muhammad Sajjad Ali Khan +4 more
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