ON AN INTERVAL-REPRESENTABLE GENERALIZED PSEUDO-CONVOLUTION BY MEANS OF THE INTERVAL-VALUED GENERALIZED FUZZY INTEGRAL AND THEIR PROPERTIES

被引：0
|
作者：
Lee, Jeong Gon [1 ,2 ]
Jang, Lee-Chae [3 ]
机构：
[1] Wonkwang Univ, Div Math & Informat Stat, Iksan 570749, South Korea
[2] Wonkwang Univ, Nanoscale Sci & Technol Inst, Iksan 570749, South Korea
[3] Konkuk Univ, Gen Educ Inst, Chungju 138701, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 21卷 / 06期
关键词：
fuzzy measure; generalized fuzzy integral; interval-representable pseudo-multiplication; interval-valued function; generalized pseudo-convolution; CONVERGENCE THEOREMS; CHOQUET INTEGRALS; OPERATIONS; SEQUENCES; NUMBERS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
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页码：1060 / 1072
页数：13
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