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Multi-criteria decision-making methods provide decision-makers with appropriate tools to make better decisions in uncertain, complex, and conflicting situations. Fuzzy set theory primarily deals with the uncertainty inherent in human…

Artificial Intelligence · Computer Science 2025-09-10 Kirisci Murat

In the field of cryptography, the selection of relevant features plays a crucial role in enhancing the security and efficiency of cryptographic algorithms. This paper presents a novel approach of applying fuzzy feature selection to…

Cryptography and Security · Computer Science 2023-06-19 Mike Nkongolo

The ontological and epistemic complexities inherent in the moral domain make it challenging to establish clear standards for evaluating the performance of a moral machine. In this paper, we present a formal method to describe Ethical…

Artificial Intelligence · Computer Science 2025-07-15 Abeer Dyoub , Francesca A. Lisi

A new fuzzy method is developed using triangular/trapezoidal fuzzy numbers for evaluating a group's mean performance, when qualitative grades instead of numerical scores are used for assessing its members' individual performance. Also, a…

Artificial Intelligence · Computer Science 2020-11-24 Michael Voskoglou

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

Functional Analysis · Mathematics 2017-03-01 Murat Kirişci

We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metric on the set of probability measures on compact metric…

General Topology · Mathematics 2011-05-20 D. Repovš , A. Savchenko , M. Zarichnyi

Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain…

Artificial Intelligence · Computer Science 2012-06-06 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna

In this paper we analyse the benefits of incorporating interval-valued fuzzy sets into the Bousi-Prolog system. A syntax, declarative semantics and im- plementation for this extension is presented and formalised. We show, by using potential…

Artificial Intelligence · Computer Science 2021-01-07 Clemente Rubio-Manzano , Martin Pereira-Fariña

This paper introduces the notion of fuzzy process as a formalism for the idea of fuzzy contact between a device and its environment. The notions of absolute correctness and relative correctness are defined. In order to work with concurrency…

Logic in Computer Science · Computer Science 2009-06-01 Lucian Luca , Lucian L. Luca

Theories of rough sets and soft sets are powerful mathematical tools for modelling various types of vagueness. Hybrid model combining a rough set with a soft set which is called soft rough set proposed by Feng et al. [3] in 2010. In this…

General Mathematics · Mathematics 2015-03-30 Naime Tozlu , Saziye Yuksel , Tugba Han Simsekler

A simplified description of Fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Situation) is presented. We have adapted the TOPSIS description from existing Fuzzy theory literature and distilled the bare minimum concepts…

Artificial Intelligence · Computer Science 2017-06-06 Balwinder Sodhi , Prabhakar T.

We give a geometrically motivated measure of skewness, define a mean value triangle number, and dispersion (in that order) of a fuzzy number without reference or seeking analogy to the namesake but parallel concepts in probability theory.…

Other Statistics · Statistics 2020-11-03 Jan Schneider

The soft topological spaces and some their related concepts have stud- ied in [7]. In this paper, we introduce and study the notions of soft connected topological spaces after a review of preliminary definitions.

General Topology · Mathematics 2012-02-09 E. Peyghan , B. Samadi , A. Tayebi

In the current paper a new Trapezoidal Fuzzy Model for Assessment is developed. This model is a variation of a special form of the commonly used in Fuzzy Mathematics Center of Gravity technique.

Optimization and Control · Mathematics 2014-10-17 Igor Ya. Subbotin , Michel Gr. Voskoglou

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois

We present a logical framework to represent and reason about fuzzy optimization problems based on fuzzy answer set optimization programming. This is accomplished by allowing fuzzy optimization aggregates, e.g., minimum and maximum in the…

Artificial Intelligence · Computer Science 2013-04-10 Emad Saad

In this article, a new hesitancy fuzzy similarity measure is defined and then used to develop the matrix of hesitancy fuzzy similarity measures, which is subsequently used to classify hesitancy fuzzy graph using the working procedure. We…

Artificial Intelligence · Computer Science 2022-05-03 Rajagopal Reddy N , Sharief Basha Shaik

In this book we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), plithogenic logic (as generalization of classical, fuzzy, intuitionistic fuzzy, and neutrosophic logics),…

Artificial Intelligence · Computer Science 2018-08-14 Florentin Smarandache

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the…

General Mathematics · Mathematics 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali