Fuzzy Mathematics by Etienne Kerre, John Mordeson - PDF

About this book :-
"Fuzzy Mathematics" by "Etienne Kerre" and "John Mordeson" is a comprehensive academic book that builds the mathematical foundations of fuzzy set theory. It explains how classical mathematics can be extended to model vagueness, partial truth, and uncertainty in a precise and logical way. The book is written for advanced students and researchers who want a strong theoretical understanding of fuzzy concepts. The authors carefully develop core topics such as fuzzy sets, fuzzy relations, fuzzy algebra, and fuzzy topological structures. Each concept is presented with clear definitions and logical reasoning, helping readers understand how fuzzy mathematics differs from and extends traditional mathematical frameworks. The focus is on rigor, clarity, and consistency rather than informal applications. Overall, the book serves as a key reference for researchers in mathematics, computer science, and artificial intelligence. It supports advanced study and research in areas where uncertainty must be treated mathematically. The work strongly contributes to "fuzzy mathematics", "fuzzy set theory", "uncertainty modeling", "mathematical foundations", and "fuzzy logic", making it an important resource in the field.

Book Detail :-
Title: Fuzzy Mathematics by Etienne Kerre, John Mordeson - PDF
Publisher: MDPI
Year: 2018
Pages: 288
Type: PDF
Language: English
ISBN-10 #: 303897322X
ISBN-13 #: 978-3038973225
License: Creative Commons
Amazon: Amazon

About Author :-
The author Etienne E Kerre and John Mordeson are respected mathematicians known for their foundational work in fuzzy set theory. Etienne Kerre focused on the theoretical development of fuzzy relations, fuzzy topology, and mathematical structures that handle imprecision with rigor. His research helped establish fuzzy mathematics as a serious mathematical discipline. John Mordeson is recognized for his contributions to fuzzy algebra, fuzzy automata, and computational aspects of fuzzy systems. Together, their work supports "fuzzy mathematics", "fuzzy set theory", "uncertainty modeling", "mathematical foundations", and "fuzzy logic", influencing research in mathematics and computer science.

Book Contents :-
1. L-Fuzzy Sets and Isomorphic Lattices: Are All the “New” Results Really New? 2. On the Most Extended Modal Operator of the First Type over Interval-Valued Intuitionistic Fuzzy Sets 3. N-Hyper Sets 4. Hypergraphs in m-Polar Fuzzy Environments 5. On Generalized Roughness in LA-Semigroups 6. Fuzzy Semi-Metric Spaces 7. Nilpotent Fuzzy Subgroups 8. Neutrosophic Triplet G-Modules 9. Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups 10. Hyperfuzzy Ideals in BCK/BCI-Algebras 11. Length-Fuzzy Subalgebras in BCK/BCI-Algebras 12. Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras 13. A Novel (R, S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making 14. Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision-Making Problems 15. The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models 16. The Emergence of Fuzzy Sets in the Decade of the Perceptron—Lotfi A. Zadeh’s and Frank Rosenblatt’s Research Work on Pattern Classification 17. Credibility Measures for Intuitionistic Fuzzy Variables 18. Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product Bézier Surfaces 19. Numerical Methods for Solving Fuzzy Linear Systems

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