Soft Methods for Modeling Uncertainty and Imprecision

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: closed (31 August 2022) | Viewed by 4508

Special Issue Editors


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Guest Editor
Department of Statistics and O.R., University of Oviedo, 33007 Oviedo, Spain
Interests: dissimilarities; stochastic orders; graph theory; interval-valued fuzzy sets

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Guest Editor
Department of Computing, University of Oviedo, 33003 Oviedo, Spain
Interests: information fusion; machine learning; decision making; interval-valued fuzzy set

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Guest Editor
Department of Statistics and O. R., University of Oviedo, 33007 Oviedo, Spain
Interests: interval-valued fuzzy sets

Special Issue Information

Dear Colleagues,

Fuzzy logic is a widely acknowledged theory that provides a tool to make decisions when imprecision is involved in the procedure. It provides a formal basis that allows machines to approximate human behavior, in the sense that it allows them to mimic the way human beings think and make choices. In classical, or “hard”, computing there is no room for imprecision or uncertainty. Hard computing is therefore not useful in artificial intelligence, where the main objective is to reproduce human reasoning with computers. Soft computing takes advantage of the theoretical ground provided by, among others, fuzzy logic to model decision-making procedures where information or knowledge is incomplete/imprecise. It is therefore a natural alternative to hard computing. A proof of the relevance and reputation of soft computing is the increasing range of application areas of its techniques.

This Special Issue welcomes both theoretical papers and applied contributions, so as to reinforce the necessity of both sides (fuzzy logic and soft computing) of scientific research.

Prof. Dr. Susana Montes
Prof. Dr. Irene Díaz
Dr. Susana Díaz-Vázquez
Guest Editors

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Published Papers (2 papers)

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Research

16 pages, 2364 KiB  
Article
A Target Damage Assessment Mathematical Model and Calculation Method Based on the Intersection of Warhead Fragment and Target Mechanism
by Xiaoqian Zhang and Hanshan Li
Mathematics 2022, 10(17), 3101; https://doi.org/10.3390/math10173101 - 29 Aug 2022
Cited by 2 | Viewed by 2607
Abstract
This paper proposes a target damage calculation method based on the profit-loss value of a warhead fragment group. The group is discretized into a fan-shaped column warhead fragment dispersion arrangement model, and the angle of its intersection with the target is combined to [...] Read more.
This paper proposes a target damage calculation method based on the profit-loss value of a warhead fragment group. The group is discretized into a fan-shaped column warhead fragment dispersion arrangement model, and the angle of its intersection with the target is combined to establish the dynamic dispersion density model of the warhead fragment group. In addition, the function to calculate the number of warhead fragments hitting the target’s surface is devised. The capability matrix of the warhead fragment group is constructed according to the quality, quantity, and storage velocity of the warhead fragments, and then, the profit-loss value of the warhead fragment group is established. Combining the intersection probability of the target and the warhead fragment of the dispersion area, the model to calculate the probability of damage caused to the target by the warhead fragment group formation is deduced. The calculation and experimental analysis verifies that the dispersion angle of warhead fragments, the intersection angle of projectile and target, and the intersection distance of projectile and target significantly influence the impact of target damage. Full article
(This article belongs to the Special Issue Soft Methods for Modeling Uncertainty and Imprecision)
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25 pages, 5444 KiB  
Article
Application of Smooth Fuzzy Model in Image Denoising and Edge Detection
by Ebrahim Navid Sadjadi, Danial Sadrian Zadeh, Behzad Moshiri, Jesús García Herrero, Jose Manuel Molina López and Roemi Fernández
Mathematics 2022, 10(14), 2421; https://doi.org/10.3390/math10142421 - 11 Jul 2022
Cited by 3 | Viewed by 1540
Abstract
In this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min–max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise [...] Read more.
In this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min–max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise removal and edge preservation of the digital images has been investigated. Different simulations on the test images have been employed to verify the results. The performance index related to the detected edges of the smooth fuzzy models in the presence of both Gaussian and Impulse (also known as salt-and-pepper noise) noises of different densities has been found to be higher than the standard well-known fuzzy models (e.g., min–max composition), which demonstrates the efficiency of smooth compositions in comparison to the standard composition. Full article
(This article belongs to the Special Issue Soft Methods for Modeling Uncertainty and Imprecision)
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