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In this paper, notion of p - norm generalized trapezoidal intuitionistic fuzzy numbers is introduced. A new ranking method is introduced for p - norm generalized trapezoidal intuitionistic fuzzy numbers. Also we consider linear programming…

Optimization and Control · Mathematics 2015-12-08 Shashi Aggarwal , Chavi Gupta

Many state-of-the-art technologies developed in recent years have been influenced by machine learning to some extent. Most popular at the time of this writing are artificial intelligence methodologies that fall under the umbrella of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Stanton R. Price , Steven R. Price , Derek T. Anderson

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

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy…

Discrete Mathematics · Computer Science 2014-01-07 Hossein Rashmanlou , Madhumangal Pal

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

We give some inclusion relations for arbitrary fuzzy sets with reference to famous inequalities. In particular, we can know that the bounded sum and the algebraic product go well together. We would like to propose the concept of `Fuzzy Set…

General Mathematics · Mathematics 2020-11-04 Norihiro Someyama

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois

This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type $n$, where $n$ is an integer larger than or equal to $1$, with an example, mathematical discussions, and real-life interpretation of the given mathematical…

Artificial Intelligence · Computer Science 2022-10-04 Anahita Jamshidnejad

In this paper, we mainly construct three types of $L$-fuzzy $\beta$-covering-based rough set models and study the axiom sets, matrix representations and interdependency of these three pairs of $L$-fuzzy $\beta$-covering-based rough…

Artificial Intelligence · Computer Science 2022-06-23 Wei Li , Bin Yang , Junsheng Qiao

We propose generalized quantization axioms for Nambu-Poisson manifolds, which allow for a geometric interpretation of n-Lie algebras and their enveloping algebras. We illustrate these axioms by describing extensions of Berezin-Toeplitz…

High Energy Physics - Theory · Physics 2011-09-01 Christian Saemann , Richard J. Szabo

Given a nonempty set $X$ and a function $f:X \rightarrow X$, three fuzzy topological spaces are introduced. Some properties of these spaces and relation among them are studied and discussed.

General Mathematics · Mathematics 2017-02-07 Ismael Akray

The main purpose of this paper is to provide a solution of the consistent fuzzy linear system and a generalized solution of the inconsistent fuzzy linear system involving the core-EP inverse of an associated matrix. Before this can be…

Rings and Algebras · Mathematics 2021-08-20 Yuefeng Gao , Jing Li

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 this paper we generalize the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Several examples are presented. Also, a geometric interpretation of the Neutrosophic Set is given using…

General Mathematics · Mathematics 2016-11-18 Florentin Smarandache

In this contribution, we aim to introduce and study L-fuzzy partition spaces and L-fuzzy closure system spaces in a categorical framework. Further, we present the concepts of coalgebras and dialgebras corresponding to a direct upper F…

Category Theory · Mathematics 2022-12-19 Abha Tripathi , S. P. Tiwari

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

Artificial Intelligence · Computer Science 2013-02-27 Alain-Jérôme Fougères

Among the many software vulnerability discovery techniques available today, fuzzing has remained highly popular due to its conceptual simplicity, its low barrier to deployment, and its vast amount of empirical evidence in discovering…

Cryptography and Security · Computer Science 2019-04-09 Valentin J. M. Manes , HyungSeok Han , Choongwoo Han , Sang Kil Cha , Manuel Egele , Edward J. Schwartz , Maverick Woo

This paper introduces a novel approach to enhance uncertainty representation, offering decision-makers a more comprehensive perspective for improved decision-making outcomes. We propose Generalized Orbicular (m,n,o) T-Spherical Fuzzy Set…

Computational Engineering, Finance, and Science · Computer Science 2024-07-02 Yasir Akhtar , Mehboob Ali , Miin-Shen Yang

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

The combination of higher-order theories and fuzzy logic can be useful in decision-making tasks that involve reasoning across abstract functions and predicates, where exact matches are often rare or unnecessary. Developing efficient…

Artificial Intelligence · Computer Science 2025-07-18 Besik Dundua , Temur Kutsia
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