Results 11 to 20 of about 2,980,636 (161)
Fractal and Fractional, 2022 This paper investigates set-valued differential equations with fractional-like Hukuhara derivatives. Firstly, a novel comparison principle is given by introducing the upper quasi-monotone increasing functions. Then, the stability criteria of Lipschitz stability and practical stability of such equations with different initial time are obtained via the ...
Peiguang Wang, Jiahui Bi
openaire +3 more sources
A New gH-Difference for Multi-Dimensional Convex Sets and Convex Fuzzy Sets
Axioms, 2019 In the setting of Minkowski set-valued operations, we study generalizations of the difference for (multidimensional) compact convex sets and for fuzzy sets on metric vector spaces, extending the Hukuhara difference.
Luciano Stefanini, Barnabas Bede
doaj +2 more sources
Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales
Axioms, 2020 This paper mainly deals with introducing and studying the properties of generalized nabla differentiability for fuzzy functions on time scales via Hukuhara difference.
R. Leelavathi +4 more
doaj +1 more source
Entropy, 2015 In this paper, we apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that
Soheil Salahshour +4 more
doaj +1 more source
Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales
Advances in Difference Equations, 2019 This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution
R. Leelavathi +3 more
doaj +1 more source
AIMS Mathematics, 2022 <abstract><p>Uncertain numbers, in a parallel definition of fuzzy numbers, are introduced. Model uncertainty and measurement uncertainty are our motivations for this study. A class of scalar multiplication and differences is proposed. Related algebra is investigated.
openaire +2 more sources
Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs [PDF]
International Journal of Computational Intelligence Systems, 2013 Based on the extension Hukuhara difference between interval numbers, a generalized form of cooperative fuzzy games with a coalition structure and interval payoffs is proposed, which can be seen as an extension of crisp case.
Fanyong Meng, Qiang Zhang, Yan Wang
doaj +1 more source
Generalized Fuzzy Shapley Function for Fuzzy Games
Journal of Applied Mathematics, 2014 A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy ...
Chunqiao Tan, Xiaohong Chen
doaj +1 more source
On Extended Lr-Norm-Based Derivatives to Intuitionistic Fuzzy Sets
Mathematics, 2023 The study of differential equation theory has come a long way, with applications in various fields. In 1961, Zygmund and Calderón introduced the notion of derivatives to metric Lr, which proved to be better in applications than approximate derivatives ...
A. S. Wungreiphi +2 more
doaj +1 more source
Fractal and Fractional, 2022 The fuzzy fractional differential equation explains more complex real-world phenomena than the fractional differential equation does. Therefore, numerous techniques have been timely derived to solve various fractional time-dependent models. In this paper,
Hamzeh Zureigat +4 more
doaj +1 more source