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The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in gamma-semigroups and to introduce the notion of fuzzy quasi ideals in gamma-semigroups. Here we also characterize a regular gamma-semigroup…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Soumitra Kayal

In this paper, we introduce the concept of polar fuzzy sets on fuzzy dual spaces. Using the notion of polar fuzzy sets, we define polar linear fuzzy topologies on fuzzy dual spaces and prove the Mackey-Arens type Theorem on fuzzy…

General Mathematics · Mathematics 2019-10-10 B. Daraby , N. Khosravi , A. Rahimi

We consider approximately greater than relations on fuzzy sets and discuss their properties.

General Mathematics · Mathematics 2018-06-26 Huan Huang

We propose a new approach to text semantic analysis and general corpus analysis using, as termed in this article, a "bi-gram graph" representation of a corpus. The different attributes derived from graph theory are measured and analyzed as…

Machine Learning · Computer Science 2021-07-30 Thomas Konstantinovsky , Matan Mizrachi

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

General Mathematics · Mathematics 2009-11-10 Bivas Dinda , T. K. Samanta

In this paper has been proved the pluripolarity of graphs of algebroid functions

Complex Variables · Mathematics 2010-05-10 Zafar Ibragimov

In this article, we give some characterization results offuzzy left(right) ideals, fuzzy generalized bi-ideals and -fuzzy bi-ideals of an LA-semigroup. We also give some characterizations of LA-semigroups by the properties of fuzzy ideals.

General Mathematics · Mathematics 2013-01-15 Muhammad aslam , Saleem Abdullah , Muhammad Atique Khan

In this paper, we present the concept of relations in intuitionistic fuzzy soft set and study some of their properties and also discuss symmetric, transitive and reflexive intuitionistic fuzzy soft relations.

General Mathematics · Mathematics 2012-02-22 Bivas Dinda , T. K. Samanta

This book presents a comprehensive and systematic survey of graph theory under uncertainty, with particular emphasis on the unifying role of the uncertain graph framework. It reviews fundamental concepts, structural properties, graph…

Artificial Intelligence · Computer Science 2026-05-26 Takaaki Fujita , Florentin Smarandache

We propose a unified view of the polarity of functions, that encompasses all specific definitions, generalizes several well-known properties and provides new results. We show that bipolar sets and bipolar functions are isomorphic lattices.…

Optimization and Control · Mathematics 2024-10-23 Jean-Philippe Chancelier , Michel de Lara

The topic of $m$-magic labeling is discussed in this article. The application of these problem is applied to path anti fuzzy and path anti fuzzy bipolar. Anti fuzzy and anti fuzzy bipolar graphs are new concepts of fuzzy graphs. This…

General Mathematics · Mathematics 2023-10-04 Yeni Rahma Oktaviani , Toto Nusantara , Santi Irawati

Hypergraphs are important objects to model ternary or higher-order relations of objects, and have a number of applications in analysing many complex datasets occurring in practice. In this work we study a new heat diffusion process in…

Data Structures and Algorithms · Computer Science 2022-05-06 Peter Macgregor , He Sun

Graph theory has successfully used to solve a wide range of problems encountered in diverse fields such as medical sciences, neural networks, control theory, transportation, clustering analysis, expert systems, image capturing, and network…

General Mathematics · Mathematics 2018-06-19 Rajkumar Verma , José M. Merigó , Manoj Sahni

Crisp and $L$-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or $L$-fuzzy) ambiguous…

Category Theory · Mathematics 2011-08-08 Oleh Nykyforchyn , Dušan Repovš

The concept of coreflexive set is introduced to study the structure of digraphs. New characterizations of line digraphs and nth-order line digraphs are given. Coreflexive sets also lead to another natural way of forming an intersection…

Combinatorics · Mathematics 2007-05-23 Xinming Liu , Douglas B. West

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy…

General Mathematics · Mathematics 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina

In this paper we study the pluripolar hulls of analytic sets. In particular, we show that hulls of graphs of analytic functions can be multiple sheeted and sheets can be separated by a set of zero dimension.

Complex Variables · Mathematics 2007-05-23 Evgeny Poletsky , Jan Wiegerinck

In decision analysis and especially in multiple criteria decision analysis, several non additive integrals have been introduced in the last sixty years. Among them, we remember the Choquet integral, the Shilkret integral and the Sugeno…

Functional Analysis · Mathematics 2012-04-27 Salvatore Greco , Fabio Rindone

In this study, after given the definition of soft sets and their basic operations we define convex soft sets which is an important concept for operation research, optimization and related problems. Then, we define concave soft sets and give…

General Mathematics · Mathematics 2013-07-19 Irfan Deli

For a flexible labeling of a graph, it is possible to construct infinitely many non-equivalent realizations keeping the distances of connected points constant. We give a combinatorial characterization of graphs that have flexible labelings.…

Combinatorics · Mathematics 2019-09-17 Georg Grasegger , Jan Legerský , Josef Schicho