Zadeh introduced in 1965 the theory of fuzzy sets, in which truth values are modelled by numbers in the unit interval [0, 1], for tackling mathematically the frequently appearing in everyday life partial truths. In a second stage, when membership functions were reinterpreted as possibility distributions, fuzzy sets were extensively used to embrace uncertainty modelling. Uncertainty is defined as the shortage of precise knowledge or complete information and possibility theory is devoted to the handling of incomplete information. Zadeh articulated the relationship between possibility and probability, noticing that what is probable must preliminarily be possible. Following the Zadeh's fuzzy set, various generalizations (intuitionistic, neutrosophic, rough, soft sets, etc.) have been introduced enabling a more effective management of all types of the existing in real world uncertainty. This book presents recent theoretical advances and applications of fuzzy sets and their extensions to Science, Humanities and Education.
This book:
It is primarily written for Senior undergraduate and graduate students and academic researchers in the fields of electrical engineering, electronics and communication engineering, computer science and engineering.
ISBN: | 9781032550107 |
Publication date: | 17th July 2024 |
Author: | Said Broumi, D Nagarajan, Michael Voskoglou, S A Edalatpanah |
Publisher: | CRC Press |
Format: | Hardback |
Pagination: | 480 pages |
Series: | Intelligent Data-Driven Systems and Artificial Intelligence |
Genres: |
Environmental science, engineering and technology Automatic control engineering Electrical engineering Algorithms and data structures Artificial intelligence Image processing Information technology: general topics |