fuzzy mathematics research paper

The aim of this survey article, dedicated to the 50th anniversary of Zadeh's pioneering paper "Fuzzy Sets" (1965), is to offer a unitary view to some important spaces in fuzzy mathematics: fuzzy ...

The theory of fuzzy logic is based on the notion of relative graded membership, as inspired by the processes of human perception and cognition. Lotfi A. Zadeh published his first famous research ...

A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. Show all. is an independent scholar based in Xanthi, Greece. His research interests include fuzzy mathematics, the ...

Feature papers represent the most advanced research with significant potential for high impact in the field. ... The topic of convex and nonconvex mapping has many applications in engineering and applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant interval and fuzzy operators that allow the classical theory of ...

Applied papers demonstrating the usefulness of fuzzy methodology in practical problems are particularly welcome. Fuzzy Sets and Systems publishes high-quality research articles, surveys as well as case studies. Separate sections are Recent Literature, and the Bulletin, which offers research reports, book reviews and conference announcements and ...

Lotfi A. Zadeh published his first famous research paper on fuzzy sets in 1965. Fuzzy logic can deal with information arising from computational perception and cognition, that is, uncertain, imprecise, vague, partially true, or without sharp boundaries. Fuzzy logic allows for the inclusion of vague human assessments in computing problems.

Explore the latest full-text research PDFs, articles, conference papers, preprints and more on FUZZY MATHEMATICS. Find methods information, sources, references or conduct a literature review on ...

The volume covers ongoing research in fuzzy and computational mathematical analysis and brings forward its recent applications to important real-world problems in various fields. The book includes selected high-quality papers from the International Conference on Fuzzy Mathematical Analysis and Advances in Computational Mathematics (FMAACM 2020).

Overview. Fuzzy Optimization and Decision Making is dedicated to the theory and practice of fuzzy optimization and decision making in uncertain conditions. Encompasses theoretical, empirical, and experimental work related to fuzzy modeling and its associated mathematics, solution methods, and systems. Publishes research in areas such as ...

Feature papers represent the most advanced research with significant potential for high impact in the field. ... graphics, controllers for automated police sketchers and many others. It should be mentioned that fuzzy mathematics has been also significantly developed on the theoretical level, providing important insights even to branches of the ...

Principal outlets of FOP are journals devoted to fuzzy mathematics and soft computing, and the evolution of contributions throughout time reveals that it has become a well-stablished topic in fuzzy mathematics. ... The bibliographical research developed in this paper provides a wide panoramic perspective about what the principal mainstreams of ...

Feature papers represent the most advanced research with significant potential for high impact in the field. ... Mathematics is an international peer-reviewed open access ... (FFNN) is a method for finding the output of expert information. In this research, we expand upon the concept of fuzzy neural network systems and introduce feed-forward ...

the conclusions and suggests several future research directions. For clarity and easy reference, the abbreviations used in this paper are listed in Table Ⅰ. T. ABLE . Ⅰ A. BBREVIATIONS USED IN THIS PAPER. Abbreviations Details FS Fuzzy system ML-FS Mamdani-Larsen fuzzy system TSK-FS Takagi-Sugeno-Kang fuzzy system GFS Graph fuzzy system ̃

This book presents the latest advances in applying fuzzy sets and operations research technology and methods. It is the first fuzzy mathematics textbook for students in high school and technical secondary schools. Part of Springer's book series: Advances in Intelligent and Soft Computing, it includes the 36 best papers from the Ninth ...

Modern Trends in Fuzzy Graph Theory by Madhumangal Pal, Sovan Samanta, Ganesh Ghorai [12] ,book offers a comprehensive set of methods for applying graph theory and fuzzy mathematics to practical ...

In the 1950s, the mathematically oriented electrical engineer, Lotfi A. Zadeh, investigated system theory, and in the mid-1960s, he established the theory of Fuzzy sets and systems based on the mathematical theorem of linear separability and the pattern classification problem. Contemporaneously, the psychologist, Frank Rosenblatt, developed the theory of the perceptron as a pattern recognition ...

Overview. International Journal of Fuzzy Systems is a semi-quarterly journal focussed on the theory, design, and application of fuzzy systems, ranging from hardware to software. Serves as a popular forum for researchers interested in fuzzy related research. Publishes regular paper, review, survey, and expository essay.

The main aim of this paper is to discuss the basic ideas and concepts of the so called 'Fuzzy Mathematics' and to give a brief survey of the history and of some trends in recent development of ...

Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 after the publication of Lotfi Asker Zadeh's seminal work Fuzzy sets. [1] Linguistics is an example of a field that utilizes fuzzy set theory.

In this paper, we study the concept of fuzzy metrics from the perspective of fuzzy relations. Specifically, we analyze the commonly used definitions of fuzzy metrics. We begin by noting that crisp metrics can be uniquely characterized by linear order relations. Further, we explore the criteria that crisp relations must satisfy in order to determine a crisp metric. Subsequently, we extend these ...

This paper proposes a multi-mobile robot formation control algorithm based on fuzzy mathematics. In recent years, the limitations of individual autonomous robots in efficiently performing complex tasks have prompted the exploration of multi-mobile robot systems. These systems offer advantages such as task partitioning, increased efficiency, and improved fault tolerance. This paper reviews the ...

A fuzzy number is a further justification from fuzzy sets and mathematics, which is a standard generalisation of real numbers, because it corresponds to a related set of potential values, where each potential value between 0 and 1 has its own strength. This ability is known as the "membership function."

In this paper, a co mprehensive literature review for. the fuzzy set theory is realized. It aims at exhibiting the. expansion areas of the fuzzy set theory in its 50th year. and presents the ...

Uniting the complex mathematics of trajectory optimization with the powers of generative AI, ... Summer Undergraduate Research Fellowship (SURF) Meet our staff; ... "And in this context, our paper is exciting, I think, for including artificial intelligence components in traditional guidance, navigation, and control pipeline to make these ...

Abstract. As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson's picture fuzzy correlation-based model for multi-attribute decision-making (MADM) analysis.

This paper addresses the fuzzy resilient control of DC microgrids with constant power loads. The DC microgrid is subject to abrupt parameter changes which are described by the Markov jump model. Due to the constant power loads, the DC microgrid exhibits nonlinear dynamics which are characterized by a T-S fuzzy model. According to the parallel distributed compensation principle, mode-dependent ...

This paper discusses the reliability of stress and strength,R, and fuzzy stress and strength reliability, RF, based on generalized mixtures of exponential distributions. We propose several estimation methods, such as the maximize likelihood estimation, the weighted least-squares estimation, and the percentile estimation, to estimate the corresponding measures. Simulation studies have been ...