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Important advances have been made in the fuzzy quantification field. Nevertheless, some problems remain when we face the decision of selecting the most convenient model for a specific application. In the literature, several desirable…

Artificial Intelligence · Computer Science 2019-02-19 F. Diaz-Hermida , M. Pereira-Fariña , Juan C. Vidal , A. Ramos-Soto

Notions of core, support and inversion of a soft set have been defined and studied. Soft approximations are soft sets developed through core and support, and are used for granulating the soft space. Membership structure of a soft set has…

Artificial Intelligence · Computer Science 2016-11-25 Athar Kharal

B. Tanay et. al. introduced and studied fuzzy soft topological spaces. Here we introduce fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space. We also study fuzzy soft closure and…

General Mathematics · Mathematics 2012-03-21 J. Mahanta , P. K. Das

Probabilistic Soft Logic has been proposed and used in several applications as an efficient way to deal with inconsistency, uncertainty and relational representation. In several applications, this approach has led to an adequate description…

Logic in Computer Science · Computer Science 2016-11-22 Vladik Kreinovich , Chitta Baral

In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on…

Other Computer Science · Computer Science 2013-11-15 Broumi Said , Florentin Smarandache

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola

In this paper, a new method based on TOPSIS and optimization models is proposed for multi-attribute group decision-making in the environment of interval-valued intuitionistic fuzzy sets.Firstly, by minimizing the sum of differences between…

Artificial Intelligence · Computer Science 2023-11-28 Qixiao Hu , Shiquan Zhang , Chaolang Hu , Yuetong Liu

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled Neutrosophic Sets and Systems. New theories, techniques, algorithms have been rapidly…

Artificial Intelligence · Computer Science 2016-11-28 Florentin Smarandache , Surapati Pramanik

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

Artificial Intelligence · Computer Science 2012-12-12 Michael Gr. Voskoglou

In this paper, the notion of convexity of picture fuzzy multisets was introduced and some of their properties were presented after studying the concept of picture fuzzy multisets.

General Mathematics · Mathematics 2026-03-25 Taiwo O. Sangodapo

Decision trees have been widely used in machine learning. However, due to some reasons, data collecting in real world contains a fuzzy and uncertain form. The decision tree should be able to handle such fuzzy data. This paper presents a…

Artificial Intelligence · Computer Science 2014-08-14 Jooyeol Yun , Jun won Seo , Taeseon Yoon

The concept of interval-valued fuzzy soft $\beta$-covering approximation spaces (IFS$\beta$CASs) is introduced to combine the theories of soft sets, rough sets and interval-valued fuzzy sets, and some fundamental propositions concerning…

General Mathematics · Mathematics 2024-04-12 Shizhan Lu

The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of…

General Topology · Mathematics 2025-08-25 Anjeza Krakulli , Elton Pasku

In this paper we give a new definition of soft topology using elementary union and elementary intersection although these operations are not distributive. Also we have shown that this soft topology is different from Naz's soft topology and…

General Mathematics · Mathematics 2017-01-03 Moumita Chiney , S. K. Samanta

In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs. We introduce the notion of $A-$ tempered bipolar fuzzy hypergraphs and present some of their…

Combinatorics · Mathematics 2015-01-27 M. Akram , W. A. Dudek , S. Sarwar

In this paper, we introduce soft continuous mappings which are defined over an initial universe set with a fixed set of parameters. Later we study soft open and soft closed mappings, soft homeomorphism and investigate some properties of…

General Mathematics · Mathematics 2016-08-11 Cigdem Gunduz Aras , Ayse Sonmez , Hüseyin Çakallı

Molodstov[10] introduced soft set theory as a new mathematical approach for solving problems having uncertainties. Many researchers worked on the findings of structures of soft set theory and applied to many problems having uncertainties.…

General Mathematics · Mathematics 2014-09-12 Sabir Hussain

This paper proposes a new approach to multi-sensor data fusion. It suggests that aggregation of data from multiple sensors can be done more efficiently when we consider information about sensors' different characteristics. Similar to most…

Systems and Control · Electrical Eng. & Systems 2019-09-10 Mohammad Amin Ahmad Akhoundi , Ehsan Valavi

Prediction sets offer a binary inclusion/exclusion for each element at the same fixed confidence level. We generalize to fuzzy prediction sets, which exclude elements at their own data-driven confidence level. Our key insight is that a…

Statistics Theory · Mathematics 2026-04-01 Nick W. Koning , Sam van Meer
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