Validity criterion for compact and separate fuzzy partitions and its justification
Xuanli Xie, G. Beni · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1991
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.