Gaussian Qualitative Trigonometric Functions in a Fuzzy Circle
Joint Authors
Anand, M. Clement Joe
Bharatraj, Janani
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We build a bridge between qualitative representation and quantitative representation using fuzzy qualitative trigonometry.
A unit circle obtained from fuzzy qualitative representation replaces the quantitative unit circle.
Namely, we have developed the concept of a qualitative unit circle from the view of fuzzy theory using Gaussian membership functions, which play a key role in shaping the fuzzy circle and help in obtaining sharper boundaries.
We have also developed the trigonometric identities based on qualitative representation by defining trigonometric functions qualitatively and applied the concept to fuzzy particle swarm optimization using α-cuts.
American Psychological Association (APA)
Anand, M. Clement Joe& Bharatraj, Janani. 2018. Gaussian Qualitative Trigonometric Functions in a Fuzzy Circle. Advances in Fuzzy Systems،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-986283
Modern Language Association (MLA)
Anand, M. Clement Joe& Bharatraj, Janani. Gaussian Qualitative Trigonometric Functions in a Fuzzy Circle. Advances in Fuzzy Systems No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-986283
American Medical Association (AMA)
Anand, M. Clement Joe& Bharatraj, Janani. Gaussian Qualitative Trigonometric Functions in a Fuzzy Circle. Advances in Fuzzy Systems. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-986283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-986283