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- Title
ON AN INTERVAL-REPRESENTABLE GENERALIZED PSEUDO-CONVOLUTION BY MEANS OF THE INTERVAL-VALUED GENERALIZED FUZZY INTEGRAL AND THEIR PROPERTIES.
- Authors
JEONG GON LEE; LEE-CHAE JANG
- Abstract
In this paper, we consider the generalized pseudo-convolution in the theory of probabilistic metric space and their properties which was introduced by Pap-Stajner (1999). Wu-Wang-Ma(1993) and Wu-Ma-Song(1995) studied the generalized fuzzy integral and their properties. Recently, Jang(2013) defined the interval-valued generalized fuzzy integral by using an interval-representable pseudo-multiplication. From the generalized fuzzy integral, we define a generalized pseudo-convolution by means of the generalized fuzzy integral and investigate their properties. In particular, we also define an interval-representable generalized pseudo-convolution of interval-valued functions by means of the interval-valued generalized fuzzy integral and investigate their properties.
- Subjects
METRIC spaces; MATHEMATICAL convolutions; FUZZY integrals; INTERVAL analysis; MATHEMATICAL functions
- Publication
Journal of Computational Analysis & Applications, 2016, Vol 21, Issue 1, p1060
- ISSN
1521-1398
- Publication type
Article