Fuzzy valued measure

Some properties for integral with respect to a fuzzy-valued additive measure

“…The topic of fuzzy-valued measures and integrals has received much attention because of their usefulness in several applied fields like mathematical economics and optimal control. Significant contributions in this area were made by Stojaković [10], Xue, Ha and Wu [12], Park [7] and Zhou [18], etc.…”

Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures

“…Hence the study of fuzzy valued measures is usually connected with set valued measures. Contributions in this field were made, among others, by Puri and Ralescu [9], Bán [10], Stojaković [11,12], M. Stojaković and Z. Stojaković [13,14], Xue et al [15], and Park [16].…”

Fuzzy-valued integrals based on a constructive methodology

“…Sim and Wang [11] gave a good review in the subject of fuzzy integrals. Some other interesting approaches are the fuzzy measures assuming values in the set of all fuzzy numbers by Klement [4] and Stojaković [12], the integration of fuzzy-valued functions by Klement [5] and Puri & Ralescu [8], and the fuzzy integrals on product spaces by Suárez-Díaz and Suárez-García [13]. In this paper, we are concerned with a more general setting, the fuzzy-valued integrals of fuzzy-valued measurable functions with respect to fuzzy-valued measures.…”