New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings [version 1; peer review: awaiting peer review]

Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalised fuzzy soft set and its applications. However, to the best of the author's knowledge, the generalised fuzzy soft...

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Published in:F1000 research Vol. 13; p. 1461
Main Authors: Woldie, Masresha Wassie, Mebrat, Jejaw Demamu, Taye, Mihret Alamneh
Format: Journal Article
Language:English
Published: England Faculty of 1000 Ltd 2024
F1000 Research Limited
Subjects:
Algebra
Algorithms
Codes
Coding theory
Decision Making
Fourier transforms
Fuzzy Logic
Fuzzy sets
Humans
Linear codes
Linear programming
Set theory
Universe
generalised fuzzy soft set
Generalised fuzzy soft code
Fuzzy code
Fuzzy Soft set
interval-valued fuzzy soft code
ISSN:2046-1402, 2046-1402
Online Access:Get full text
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Summary:Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalised fuzzy soft set and its applications. However, to the best of the author's knowledge, the generalised fuzzy soft set has not been dealing with in the generalised fuzzy soft code set. In this paper, we introduce the notion of generalised fuzzy soft code set and its application. Methods The theory of fuzzy soft sets and its application, generalised fuzzy soft sets and fuzzy codes in different years were studied with various researchers. To derive a generalised fuzzy soft code set, we apply the concepts of generalised fuzzy soft set and a new view of fuzzy codes and its application. A new aspect of this paper is to introduce the definition of generalised fuzzy soft code sets and its application on medical diagnosis and decision-makings. Results Generalised fuzzy soft code is the most powerful and effective extension of fuzzy soft sets that deal with the choice's parameterized values. It is an extended model of fuzzy soft sets and a new mathematical tool with significant advantages for handling uncertain information and is proposed by combining the concept of fuzzy soft sets and fuzzy code sets. This paper introduces the concept of generalised fuzzy soft code and its properties. Conclusions In this study, we combine generalised fuzzy soft set and a different approach to coding theory to introduce generalisation of fuzzy soft codes. The paper also considers the relation between generalised fuzzy soft code and its application. We discussed the matrix representation of generalised fuzzy soft code. Furthermore, a demonstration example illustrates how the strategy could be effectively applied to various problems.
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No competing interests were disclosed.
ISSN:2046-1402
2046-1402
DOI:10.12688/f1000research.158747.1