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The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and…

General Mathematics · Mathematics 2007-05-23 Wieslaw A. Dudek , Bijan Davvaz , Young Bae Jun

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

In this paper we introduce a Non-Stationary Fuzzy Time Series (NSFTS) method with time varying parameters adapted from the distribution of the data. In this approach, we employ Non-Stationary Fuzzy Sets, in which perturbation functions are…

Since its inception, Fuzzy Set has been widely used to handle uncertainty and imprecision in decision-making. However, conventional fuzzy sets, often referred to as type-1 fuzzy sets (T1FSs) have limitations in capturing higher levels of…

Artificial Intelligence · Computer Science 2026-04-14 Bapi Dutta , Diego García-Zamora , José Rui Figueira , Luis Martínez

Analyzing nonlinear systems with stabilizable controlled invariant sets (CISs) requires accurate estimation of their domains of stabilization (DOS) together with associated stabilizing controllers. Despite extensive research, estimating…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Mohamed Serry , S. Sivaranjani , Jun Liu

Accurate estimation such as cost estimation, quality estimation and risk analysis is a major issue in management. We propose a patent pending soft computing framework to tackle this challenging problem. Our generic framework is independent…

Software Engineering · Computer Science 2015-08-04 Danny Ho , Luiz Fernando Capretz , Xishi Huang , Jing Ren

In an increasing number of applications, it is of interest to recover an approximately low-rank data matrix from noisy observations. This paper develops an unbiased risk estimate---holding in a Gaussian model---for any spectral estimator…

Statistics Theory · Mathematics 2015-06-11 Emmanuel J. Candes , Carlos A. Sing-Long , Joshua D. Trzasko

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

Artificial Intelligence · Computer Science 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

Working in the soft-element (classical) viewpoint, we introduce \emph{soft bitopological groups}: soft groups endowed with two soft topologies such that the induced topologies on the set of soft elements make the soft-element group into a…

General Topology · Mathematics 2026-02-16 S. Ray

In this paper we provide a general setting to deal with level continuous fuzzy-valued functions. Namely, we embed such functions into a product of spaces of real-valued functions of two variables satisfying certain types of left-continuity,…

General Mathematics · Mathematics 2026-03-31 J. J. Font , S. Macario , M. Sanchis

In this paper an idea of soft linear spaces and soft norm on soft linear spaces are given and some of their properties are studied. Soft vectors in soft linear spaces are introduced and their properties are studied. Completeness of soft…

General Mathematics · Mathematics 2013-08-06 Sujoy Das , Pinaki Majumdar , S. K. Samanta

It has been some time since interval-valued linear regression was investigated. In this paper, we focus on linear regression for interval-valued data within the framework of random sets. The model we propose generalizes a series of existing…

Methodology · Statistics 2015-06-12 Yan Sun , Chunyang Li

Developing software projects allows students to put knowledge into practice and gain teamwork skills. However, assessing student performance in project-oriented courses poses significant challenges, particularly as the size of classes…

Computers and Society · Computer Science 2024-05-02 Anna Ogorodova , Pakizar Shamoi , Aron Karatayev

This paper presents an axiomatic framework for qualitative decision under uncertainty in a finite setting. The corresponding utility is expressed by a sup-min expression, called Sugeno (or fuzzy) integral. Technically speaking, Sugeno…

Artificial Intelligence · Computer Science 2013-02-01 Didier Dubois , Henri Prade , Regis Sabbadin

In fuzzy decision-making processes based on linguistic information, operations on discrete fuzzy numbers are commonly performed. Aggregation and defuzzification operations are some of these often used operations. Many aggregation and…

Artificial Intelligence · Computer Science 2018-10-12 Resmiye Nasiboglu , Rahila Abdullayeva

In the process of measuring objects with local self-similarity, such as satellite images or coastlines, we obtain a data set with both local self-similarity and uncertainty. To better interpolate such data sets, an interpolation function…

General Mathematics · Mathematics 2025-08-05 Hyang Choe , MiGyong Ri , CholHui Yun

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…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

Logic · Mathematics 2021-02-08 Josefa M. Garcia , Pascual Jara

Software requirement selection is to find an optimal set of requirements that gives the highest value for a release of software while keeping the cost within the budget. However, value-related dependencies among software requirements may…

Software Engineering · Computer Science 2020-03-04 Davoud Mougouei , David M. W. Powers
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