Affiliation:
1. Department of Mathematics, Hindustan Institute of Technology and Science (Deemed to be University), Chennai 603103, India
Abstract
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.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
5 articles.
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