A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets

International Journal of Neutrosophic Science 18 (2022)
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Abstract

Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough stud ies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties. Although these concepts can handle incomplete information in various real-world issues, they cannot address all types of uncertainty such as indeterminate and inconsistent information. Also, plithogenic sets as a generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, which is a set whose elements are characterized by many attributes’ values. In this paper, our aim is to demonstrate and review the history of fuzzy, intuitionistic and neutrosophic sets. For this purpose, we divided the paper as: section 1. History of Fuzzy Sets, section 2. History of Intuitionistic Fuzzy Sets and section 3. History of Neutrosophic Theories and Applications, section 4. History of Plithogenic Sets.

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Florentin Smarandache
University of New Mexico

References found in this work

Foundations of Set Theory.Abraham Adolf Fraenkel & Yehoshua Bar-Hillel - 1973 - Atlantic Highlands, NJ, USA: Elsevier.
NeutroAlgebra is a Generalization of Partial Algebra.Florentin Smarandache - 2020 - International Journal of Neutrosophic Science 2 (1):8-17.
Brouwer’s Cambridge Lectures on Intuitionism.D. van Dalen (ed.) - 1981 - Cambridge University Press.

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