International Journal of Fuzzy Mathematical Archive
  • Year: 2018
  • Volume: 16
  • Issue: 2

Fuzzy Measure-Structural Characteristics

1Department of Mathematics, Government Arts College, Udumalpet, Tamil Nadu, India. E-mail: sivaommuruga@rediffmail.com

2Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore, Tamil Nadu, India

*Corresponding author. E-mail: brahulkavitha@gmail.com

AMS Mathematics Subject Classification (2010): 28E10, 03E72, 26E50, 94D05

Abstract

In this paper, some structural characteristics of fuzzy measure such as nulladditivity, autocontinuity, uniform autocontinuity, subadditivity, and superadditivity are defined with examples. Some theorems are given about the characteristics and finite fuzzy measure.

Keywords

Fuzzy measure, null-additivity, autocontinuity, uniform autocontinuity, and exhaustive