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Related papers: Operations on soft sets revisited

200 papers

The application of rough set theory in incomplete information systems is a key problem in practice since missing values almost always occur in knowledge acquisition due to the error of data measuring, the limitation of data collection, or…

Artificial Intelligence · Computer Science 2019-06-14 Min Shu , Wei Zhu

Both algebraic and computational approaches for dealing with similarity spaces are well known in generalized rough set theory. However, these studies may be said to have been confined to particular perspectives of distinguishability in the…

Logic · Mathematics 2009-05-14 A. Mani

In this paper, we define concept of bipolar neutrosophic soft expert set. Also, its basic operations, namely complement, union and intersection. We give examples for these concepts.

General Mathematics · Mathematics 2016-02-25 Mehmet Sahin , Irfan Deli , Vakkas Ulucay

Motivated by an ongoing project on computer aided derivation of asymptotic models governed by partial differential equations, we introduce a class of term transformations that consists of traversal strategies and insertion of contexts. We…

Logic in Computer Science · Computer Science 2021-12-15 Walid Belkhir , Nicolas Ratier , Duy Duc Nguyen , Michel Lenczner

This article is devoted to the study of classical and new results concerning equidistant sets, both from the topological and metric point of view. We start with a review of the most interesting known facts about these sets in the euclidean…

Metric Geometry · Mathematics 2012-01-13 Mario Ponce , Patricio Santibáñez

Probability intervals are an attractive tool for reasoning under uncertainty. Unlike belief functions, though, they lack a natural probability transformation to be used for decision making in a utility theory framework. In this paper we…

Artificial Intelligence · Computer Science 2022-01-06 Fabio Cuzzolin

Algebraic effects offer a versatile framework that covers a wide variety of effects. However, the family of operations that delimit scopes are not algebraic and are usually modelled as handlers, thus preventing them from being used freely…

Programming Languages · Computer Science 2022-01-26 Zhixuan Yang , Marco Paviotti , Nicolas Wu , Birthe van den Berg , Tom Schrijvers

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

This paper presents methods for using zonotopes and constrained zonotopes to improve the practicality of a wide variety of set-based operations commonly used in control theory. The proposed methods extend the use of constrained zonotopes to…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Vignesh Raghuraman , Justin P. Koeln

The variant of calculation of functions of set and their application is offered. In particular: the new measure of system of sets generalizing classical concept of a measure is entered; the variation of set that has allowed to construct a…

Functional Analysis · Mathematics 2007-07-16 A. A. Bosov

In a recent paper, Chiney and Samanta have introduced a new definition of soft topology, using the soft elementary intersection and union. In this paper, basing at this approach, we introduce a definition of soft elementary compact set, and…

General Mathematics · Mathematics 2018-05-22 Mahmoud Bousselsal , Abderachid Saadi

We study operations on fixpoint equation systems (FES) over arbitrary complete lattices. We investigate under which conditions these operations, such as substituting variables by their definition, and swapping the ordering of equations,…

Logic in Computer Science · Computer Science 2024-08-07 Thomas Neele , Jaco van de Pol

Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can be naturally composed to form bigger and more complex ones. Coming historically from algebraic…

Combinatorics · Mathematics 2021-04-27 Samuele Giraudo

Rough set theory is a new method that deals with vagueness and uncertainty emphasized in decision making. Data mining is a discipline that has an important contribution to data analysis, discovery of new meaningful knowledge, and autonomous…

Databases · Computer Science 2013-11-19 Thabet Slimani

Rough set theory is an important mathematical tool for dealing with uncertain or vague information. This paper studies some new topologies induced by a binary relation on universe with respect to neighborhood opera- tors. Moreover, the…

General Mathematics · Mathematics 2014-05-22 Nurettin Bagirmaz , A. Fatih Ozcan Hatice Tasbozan , Ilhan Icen

Soft set theory can deal uncertainties in nature by parametrization process. In this paper, we explore the objects and morphisms of category of soft sets, Sset(U) in detail. Also, gives characterizations of monomorphisms and epimorphisms in…

Category Theory · Mathematics 2019-02-05 Ratheesh K. P. , Sunil Jacob John

We explore a more general class of soft supersymmetry-breaking masses and interactions than that usually considered, both in general and in the MSSM context, where our results for the one-loop $\beta$-functions correct some errors in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. Jack , D. R. T. Jones

In this paper we establish a general framework in which the verification of support theorems for generalized convex functions acting between an algebraic structure and an ordered algebraic structure is still possible. As for the domain…

Functional Analysis · Mathematics 2020-12-07 Andrzej Olbryś , Zsolt Páles

In this manuscript the idea of soft convex structures is given and some of their properties are investigated. Also, soft convex sets, soft concave sets and soft convex hull operator are defined and their properties are studied. Moreover,…

General Mathematics · Mathematics 2024-05-31 José Sanabria , Adolfo Pimienta , Semiramis Zambrano

Soft constraints extend classical constraints to represent multiple consistency levels, and thus provide a way to express preferences, fuzziness, and uncertainty. While there are many soft constraint solving formalisms, even distributed…

Programming Languages · Computer Science 2018-02-27 S. Bistarelli , U. Montanari , F. Rossi