Fuzzy entropy functions based on perceived uncertainty

The paper presents fuzzy entropy functions based on perceived vagueness. The proposed entropy functions are based on the principle that different agents may perceive a membership grade differently. The perceived uncertainty for a membership grade is determined through a gain function. In this light, new variants of the popular fuzzy entropy functions are developed. Inspired by these variants, a novel fuzzy entropy function is also developed. The proposed functions are extended to the probabilistic fuzzy domain. A case study is included to illustrate applicability of the work.