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Fuzziness: A Mathematical Tool

Fuzziness: A Mathematical Tool
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Author(s): Atul Kumar Sahu (Guru Ghasidas Central Vishwavidyalaya, India), Nitin Kumar Sahu (Guru Ghasidas Central Vishwavidyalaya, India)and Anoop Kumar Sahu (J.K.I.E., India)
Copyright: 2017
Pages: 30
Source title: Theoretical and Practical Advancements for Fuzzy System Integration
Source Author(s)/Editor(s): Deng-Feng Li (Fuzhou University, China)
DOI: 10.4018/978-1-5225-1848-8.ch001

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Abstract

The fuzzy sets theory is observed as an important and powerful tool, which aids numerous researchers and learners in a variety of ways and in countless disciplines by transforming oral information into mathematical data. The majority of our conventional tools for computing, analysis and modeling are based on clear cut, defined, deterministic and precise information (generally crisp in nature) and concentrate on true yes or true no type information rather than more or less type information. It is very easy to deal with the cases, where the statement refers true yes or true no type information, however it is critical to deal with more or less type of data information, which can be easily overcome by fuzzy sets theory. The presented chapter tries to give an idea to the learners and researcher about: the basic concepts of fuzzy, what is fuzzy and fuzzy number, what are the application fields of the developed fuzzy theory, how to import fuzzy data, what is linguistic and importance of linguistic in fuzzy theory, what are the existing developed techniques that integrate the fuzzy theory effectively, etc. The main objective of the presented chapter is to impart fuzzy knowledge to the new learners and readers, so that they augment and disseminate the fuzzy sets theory into new application fields to benefit the society and mankind.

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