Publication Type

Journal Article

Version

publishedVersion

Publication Date

4-2009

Abstract

This paper proposed a fuzzify functor as an extension of the concept of fuzzy sets. The fuzzify functor and the first-order operated fuzzy set are defined. From the theory analysis, it can be observed that when the fuzzify functor acts on a simple crisp set, we get the first order fuzzy set or type-1 fuzzy set. By operating the fuzzify functor on fuzzy sets, we get the higher order fuzzy sets or higher type fuzzy sets and their membership functions. Using the fuzzify functor we can exactly describe the type-1 fuzzy sets, type-2 fuzzy sets and higher type or higher order fuzzy sets. The fuzzify functor makes type-1, type-2 and any fuzzy sets much more accessible to all readers.

Discipline

Artificial Intelligence and Robotics | Numerical Analysis and Scientific Computing

Research Areas

Intelligent Systems and Optimization

Publication

Optoelectronics Letters

Volume

5

Issue

1

First Page

69

Last Page

72

ISSN

1673-905

Identifier

10.1007/s11801-009-8132-9

Publisher

Springer

Additional URL

https://doi.org/10.1007/s11801-009-8132-9

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