μ-Canonical fuzzy measure on (0, 1]

Article type: Research Article

Authors: Omidvar, Mohsen Erfanian^* | Akbarossadat, Seyyedeh Nafiseh

Affiliations: Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Correspondence: [*] Corresponding author. Mohsen Erfanian Omidvar, Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. E-mail: [email protected].

Abstract: In this paper, the definition μ-Canonical Fuzzy Measure on (0, 1] is introduced. The characterization of the μ-Canonical fuzzy measure is given by the μ-invariance properties against translations.

Keywords: Borel measure, Canonical fuzzy measure, distortion function, fuzzy measure

DOI: 10.3233/IFS-151922

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2095-2099, 2016