Validity criterion for compact and separate fuzzy partitions and its justification

Xuanli Xie; Gerardo Beni

doi:10.1117/12.25171

1 February 1991 Validity criterion for compact and separate fuzzy partitions and its justification

Xuanli Xie, Gerardo Beni

Proceedings Volume 1381, Intelligent Robots and Computer Vision IX: Algorithms and Techniques; (1991) https://doi.org/10.1117/12.25171
Event: Advances in Intelligent Robotics Systems, 1990, Boston, MA, United States

Abstract

This paper presents a new fuzzy validity function which is mathematically justified via its relationship to the separation index a well defmed hard clustering validity function. The condition for existence of a unique globally optimal fuzzy c-partition has been found. The performance of this function compares well with other validity measures.

Citation Download Citation

Xuanli Xie and Gerardo Beni "Validity criterion for compact and separate fuzzy partitions and its justification", Proc. SPIE 1381, Intelligent Robots and Computer Vision IX: Algorithms and Techniques, (1 February 1991); https://doi.org/10.1117/12.25171

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available