Gaussian Qualitative Trigonometric Functions in a Fuzzy Circle

被引：6

作者：

Anand, M. Clement Joe ^{[1
]}

Bharatraj, Janani ^{[1
]}

机构：

[1] Hindustan Inst Technol & Sci Deemed Univ, Dept Math, Madras 603103, Tamil Nadu, India

来源：

ADVANCES IN FUZZY SYSTEMS | 2018年 / 2018卷

关键词：

D O I：

10.1155/2018/8623465

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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 alpha-cuts.

引用

页数：9

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