Special Issue "Fuzzy Sets and Artificial Intelligence"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Set Theory".

Deadline for manuscript submissions: 31 March 2022.

Special Issue Editors

Prof. Dr. José Carlos R. Alcantud
E-Mail Website
Guest Editor
BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, E37007 Salamanca, Spain
Interests: decision theory; social choice; mathematical economics; fuzzy set theory
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Gustavo Santos-García
E-Mail Website
Guest Editor
Facultad de Economía y Empresa and Multidisciplinary Institute of Enterprise (IME), Universidad de Salamanca, 37007 Salamanca, Spain
Interests: artificial Intelligence; soft computing; rewriting logic; computational biology; decision theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues, 

Soft computing is a branch of Artificial Intelligence that studies the techniques used in the resolution of problems incorporating incomplete, uncertain and/or inaccurate information.

Fuzzy set theory and its generalizations have proven to be fundamental in the management of imprecise information and in reasoning under uncertainty. These theories provide theoretical and practical frameworks that have proven suitable for numerous types of modeling applications.

The purpose of this Special Issue is to gather a collection of articles on the cutting-edge advances and developments in this field of research, which includes but is not limited to topics such as: optimization, decision making, aggregation functions, natural language processing, knowledge representation, extensions and generalizations of fuzzy sets, aggregation operations, fuzzy programming, and approximate reasoning. Manuscripts on theoretical foundations, as well as applied developments and related methodologies of soft computing, in the domains of economics, medical sciences, engineering, industry, social sciences, etc., are welcome.

Prof. Dr. José Carlos R. Alcantud
Prof. Dr. Gustavo Santos-García
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • decision making
  • multiple-criteria decision making
  • optimization
  • uncertainty
  • linguistic variables
  • artificial intelligence
  • soft computing
  • fuzzy set theory
  • fuzzy sets and their generalizations
  • deep learning
  • neural networks
  • machine learning
  • expert systems
  • applications of fuzziness in artificial intelligence, economics, medicine, industry, etc

Published Papers (3 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

Article
Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making
Mathematics 2022, 10(1), 23; https://doi.org/10.3390/math10010023 - 21 Dec 2021
Viewed by 277
Abstract
On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) [...] Read more.
On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) operator, bipolar complex fuzzy Hamacher ordered weighted geometric (BCFHOWG) operator, and bipolar complex fuzzy Hamacher hybrid geometric (BCFHHG) operator. We present the features and particular cases of the above-mentioned operators. Subsequently, we use these operators for methods that can resolve bipolar complex fuzzy multiple attribute decision making (MADM) issues. We provide a numerical example to authenticate the interpreted methods. In the end, we compare our approach with existing methods in order to show its effectiveness and practicality. Full article
(This article belongs to the Special Issue Fuzzy Sets and Artificial Intelligence)
Show Figures

Figure 1

Article
Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
Mathematics 2021, 9(21), 2730; https://doi.org/10.3390/math9212730 - 27 Oct 2021
Viewed by 441
Abstract
In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth, falsity, reference parameters, and their [...] Read more.
In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth, falsity, reference parameters, and their uncertain linguistic terms to handle problematic and challenging data in factual life impasses. By using the elaborated CLDULSs, some operational laws are also settled. Furthermore, by using the power Einstein (PE) aggregation operators based on CLDULS: the complex linear Diophantine uncertain linguistic PE averaging (CLDULPEA), complex linear Diophantine uncertain linguistic PE weighted averaging (CLDULPEWA), complex linear Diophantine uncertain linguistic PE Geometric (CLDULPEG), and complex linear Diophantine uncertain linguistic PE weighted geometric (CLDULPEWG) operators, and their useful results are elaborated with the help of some remarkable cases. Additionally, by utilizing the expounded works dependent on CLDULS, I propose a multi-attribute decision-making (MADM) issue. To decide the quality of the expounded works, some mathematical models are outlined. Finally, the incomparability and relative examination of the expounded approaches with the assistance of graphical articulations are evolved. Full article
(This article belongs to the Special Issue Fuzzy Sets and Artificial Intelligence)
Article
Caliber and Chain Conditions in Soft Topologies
Mathematics 2021, 9(19), 2349; https://doi.org/10.3390/math9192349 - 22 Sep 2021
Cited by 1 | Viewed by 512
Abstract
In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinning merges point-set or classical topology with the characteristics of soft sets (a model for the representation of uncertain knowledge initiated in 1999). We introduce two types of axioms [...] Read more.
In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinning merges point-set or classical topology with the characteristics of soft sets (a model for the representation of uncertain knowledge initiated in 1999). We introduce two types of axioms that generalize suitable concepts of soft separability. They are respectively concerned with calibers and chain conditions. We investigate explicit procedures for the construction of non-trivial soft topological spaces that satisfy these new axioms. Then we explore the role of cardinality in their study, and the relationships among these and other properties. Our results bring to light a fruitful field for future research in soft topology. Full article
(This article belongs to the Special Issue Fuzzy Sets and Artificial Intelligence)
Show Figures

Figure 1

Back to TopTop