Authors:
- The work in this book is based on philosophical as well as logical views on the subject of decoding the progress of decision making process in the cognition system of a decision maker
- Two examples of ‘decision making problems’ with complete solutions are presented out of which one example shows the dominance of the application potential of intuitionistic fuzzy set theory over fuzzy set theory, and the other shows the converse i.e. the dominance of the application potential of fuzzy set theory over intuitionistic fuzzy set theory in some cases
- Introduces a Theory of Cognitive Intuitionistic Fuzzy Systems (CIFS)
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Computational Intelligence (BRIEFSINTELL)
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Table of contents (1 chapter)
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Front Matter
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Back Matter
About this book
The work in this book is based on philosophical as well as logical views on the subject of decoding the ‘progress’ of decision making process in the cognition system of a decision maker (be it a human or an animal or a bird or any living thing which has a brain) while evaluating the membership value µ(x) in a fuzzy set or in an intuitionistic fuzzy set or in any such soft computing set model or in a crisp set. A new theory is introduced called by “Theory of CIFS”. The following two hypothesis are hidden facts in fuzzy computing or in any soft computing process :-
Fact-1: A decision maker (intelligent agent) can never use or apply ‘fuzzy theory’ or any soft-computing set theory without intuitionistic fuzzy system.
Fact-2 : The Fact-1 does not necessarily require that a fuzzy decision maker (or a crisp ordinary decision maker or a decision maker with any other soft theory models or a decision maker like animal/bird which has brain, etc.) must be aware or knowledgeable about IFS Theory!
The “Theory of CIFS” is developed with a careful analysis unearthing the correctness of these two facts. Two examples of ‘decision making problems’ with complete solutions are presented out of which one example will show the dominance of the application potential of intuitionistic fuzzy set theory over fuzzy set theory, and the other will show the converse i.e. the dominance of the application potential of fuzzy set theory over intuitionistic fuzzy set theory in some cases. The “Theory of CIFS” may be viewed to belong to the subjects : Theory of Intuitionistic Fuzzy Sets, Soft Computing, Artificial Intelligence, etc.
Authors and Affiliations
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Dept of CS & Engg, Fac of Eng & Tech, Jamia Hamdard University, New Delhi, India
Ranjit Biswas
Bibliographic Information
Book Title: Is ‘Fuzzy Theory’ an Appropriate Tool for Large Size Problems?
Authors: Ranjit Biswas
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-26718-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-26717-3Published: 16 December 2015
eBook ISBN: 978-3-319-26718-0Published: 08 December 2015
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: VIII, 64
Number of Illustrations: 17 illustrations in colour