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The concepts of fuzzy objects and their classes are described that make it possible to structurally represent knowledge about fuzzy and partially-defined objects and their classes. Operations over such objects and classes are also proposed…

Artificial Intelligence · Computer Science 2016-02-17 D. A. Terletskyi , A. I. Provotar

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

This paper introduces semiopen and semiclosed soft sets in soft topological spaces. The notions of interior and closure are generalized using these sets. A detail study is carried out on properties of semiopen, semiclosed soft sets, semi…

General Topology · Mathematics 2012-03-20 J. Mahanta , P. K. Das

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

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

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is…

Systems and Control · Computer Science 2016-02-18 David Coufal

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

In this article we investigate a way in which quantum computing can be used to extend the class of fuzzy sets. The core idea is to see states of a quantum register as characteristic functions of quantum fuzzy subsets of a given set. As the…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put…

General Mathematics · Mathematics 2016-05-05 Manash Jyoti Borah , Bipan Hazarika

Considering the high volume, wide variety, and rapid speed of data generation, investigating feature selection methods for big data presents various applications and advantages. By removing irrelevant and redundant features, feature…

Machine Learning · Computer Science 2026-03-12 Mohammad Hossein Safarpour , Seyed Majid Alavi , Mohammad Izadikhah , Hossein Dibachi

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

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

Vagueness is a linguistic phenomenon as well as a property of physical objects. Fuzzy set theory is a mathematical model of vagueness that has been used to define vague models of computation. The prominent model of vague computation is the…

Other Computer Science · Computer Science 2018-08-27 Apostolos Syropoulos

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

Artificial Intelligence · Computer Science 2013-04-10 Christoph F. Eick

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

Reasoning with fuzzy sets can be achieved through measures such as similarity and distance. However, these measures can often give misleading results when considered independently, for example giving the same value for two different pairs…

Artificial Intelligence · Computer Science 2014-09-04 Josie McCulloch , Christian Wagner , Uwe Aickelin

The notion of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this paper, we consider the concepts of soft compactness, countably soft compactness and obtain some results. We study some soft…

General Mathematics · Mathematics 2014-01-28 E. Peyghan , B. Samadi , A. Tayebi

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

Concept of bi-soft topological spaces is introduced. Several notions of a soft topological space are generalized to study bi-soft topological spaces. Separation axioms play a vital role in study of topological spaces. These concepts have…

General Topology · Mathematics 2015-09-04 Munazza Naz , Muhammad Shabir , Muhammad Irfan Ali

Decision-making is a process of choosing among alternative courses of action for solving complicated problems where multi-criteria objectives are involved. The past few years have witnessed a growing recognition of Soft Computing…

Artificial Intelligence · Computer Science 2016-11-17 Cong Tran , Ajith Abraham , Lakhmi Jain
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