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Risk specialists are trying to understand risk better and use complex models for risk assessment, while many risks are not yet well understood. The lack of empirical data and complex causal and outcome relationships make it difficult to…

Artificial Intelligence · Computer Science 2020-09-22 Hengameh Fakhravar

In group decision making (GDM) problems fuzzy preference relations (FPR) are widely used for representing decision makers' opinions on the set of alternatives. In order to avoid misleading solutions, the study of consistency and consensus…

Artificial Intelligence · Computer Science 2014-08-27 Sujit Das , Samarjit Kar

Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics dealing nicely with the nonlinear nature of digital images are used in vector median-based filters for noise reduction in…

Classical Analysis and ODEs · Mathematics 2018-09-25 Kamran Alam Khan

In 1999, Molodtsov \cite{1} developed the idea of soft set theory, proving it to be a flexible mathematical tool for dealing with uncertainty. Several researchers have extended the framework by combining it with other theories of…

General Mathematics · Mathematics 2025-06-02 Santanu Acharjee , Sidhartha Medhi

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets.…

General Mathematics · Mathematics 2015-06-11 J. Mahanta , P. K. Das

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.

Modeling human ratings data subject to raters' decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay between emotion and decision making in rating processes, final raters' choices seldom…

Applications · Statistics 2021-05-21 Antonio Calcagnì , Luigi Lombardi

Recommender systems aim to help users find relevant items more quickly by providing personalized recommendations. Explanations in recommender systems help users understand why such recommendations have been generated, which in turn makes…

Human-Computer Interaction · Computer Science 2024-07-03 Jinfeng Zhong , Elsa Negre

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy random variable. One of the most used and studied statistical…

Methodology · Statistics 2022-07-27 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

In practical situations, interval-valued fuzzy sets are frequently encountered. In this paper, firstly, we present shadowed sets for interpreting and understanding interval fuzzy sets. We also provide an analytic solution to computing the…

Artificial Intelligence · Computer Science 2014-12-23 Guangming Lang

We discuss how hadronic bag models can be generalized in the framework of fuzzy set theory to implement effects of a smooth and extended phase boundary.

High Energy Physics - Phenomenology · Physics 2007-05-23 Hilmar Forkel

In today's world, making decisions as a group is common, whether choosing a restaurant or deciding on a holiday destination. Group decision-making (GDM) systems play a crucial role by facilitating consensus among participants with diverse…

Artificial Intelligence · Computer Science 2025-10-16 Adilet Yerkin , Pakizar Shamoi , Elnara Kadyrgali

This paper introduces a novel Choquet distance using fuzzy rough set based measures. The proposed distance measure combines the attribute information received from fuzzy rough set theory with the flexibility of the Choquet integral. This…

Machine Learning · Computer Science 2025-02-18 Adnan Theerens , Chris Cornelis

Most fuzzy systems including fuzzy decision support and fuzzy control systems provide out-puts in the form of fuzzy sets that represent the inferred conclusions. Linguistic interpretation of such outputs often involves the use of linguistic…

Artificial Intelligence · Computer Science 2013-01-30 Ryszard Kowalczyk

In this study different types of intuitionistic fuzzy continuities (IFCs) and intuitionistic fuzzy boundedness (IFBs) in intuitionistic fuzzy pseudo normed linear spaces are studied. Relations (intra and inter) on intuitionistic fuzzy…

General Mathematics · Mathematics 2021-02-15 Bivas Dinda , Santanu Kumar Ghosh , T. K. Samanta

Various tasks in decision making and decision support systems require selecting a preferred subset of a given set of items. Here we focus on problems where the individual items are described using a set of characterizing attributes, and a…

Artificial Intelligence · Computer Science 2014-01-16 Maxim Binshtok , Ronen I. Brafman , Carmel Domshlak , Solomon Eyal Shimony

In this paper, we further study the theory of Intuitionistic fuzzy submodules and we will define intuitionistic fuzzy primary submodule with the help of the definition of a radical submodule, and we also study the properties of these…

Commutative Algebra · Mathematics 2022-08-30 Abbas Taherpour , Shaban Ghalandarzadeh , Parastoo Malakooti Rad , Parvin Safari

The Price equation provides a formal account of selection building on a right-total mapping between two classes of individuals, that is usually interpreted as a parent-offspring relation. This paper presents a new formulation of the Price…

Populations and Evolution · Quantitative Biology 2025-03-19 Matthias Borgstede

Software project management makes extensive use of predictive modeling to estimate product size, defect proneness and development effort. Although uncertainty is acknowledged in these tasks, fuzzy inference systems, designed to cope well…

Software Engineering · Computer Science 2021-02-08 Stephen G. MacDonell
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