๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Duality in dynamic fuzzy systems

โœ Scribed by Yuji Yoshida

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
560 KB
Volume
95
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper shows the resolvent equation and the co-balayage theorem for a dynamic fuzzy system. Next, we define a dual system for the dynamic fuzzy system, and give a duality for Snell's optimal stopping problem by the dual system. (~) 1998 Elsevier Science B.V.

๐Ÿ“œ SIMILAR VOLUMES

Duality in fuzzy linear systems
Duality in fuzzy linear systems
โœ Ming Ma; M. Friedman; A. Kandel ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 75 KB
A fuzzy relational equation in dynamic f
A fuzzy relational equation in dynamic fuzzy systems
โœ M. Kurano; M. Yasuda; J. Nakagami; Y. Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 270 KB

For a dynamic fuzzy system, the fundamental method is to analyze its recursive relation of the fuzzy states. It is similar in that the Bellman equation is an important tool in the dynamic programming. Here we will consider the existence and the uniqueness of solution of a fuzzy relational equation.

A limit theorem in dynamic fuzzy systems
A limit theorem in dynamic fuzzy systems with transitive fuzzy relations
โœ Yuji Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 195 KB

A limit theorem of sequences of fuzzy states in dynamic fuzzy systems is discussed when fuzzy relations are transitive. This paper analyzes the space of the solutions of a fuzzy relational equation, and the limiting fuzzy state is represented by the fundamental solutions of the equation. An example

An optimal stopping problem in dynamic f
An optimal stopping problem in dynamic fuzzy systems with fuzzy rewards
โœ Y. Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 722 KB

This paper deals with an optimal stopping problem in dynamic fuzzy systems with fuzzy rewards, and shows that the optimal discounted fuzzy reward is characterized by a unique solution of a fuzzy relational equation. We define a fuzzy expectation with a density given by fuzzy goals and we estimate di

The recurrence of dynamic fuzzy systems
The recurrence of dynamic fuzzy systems
โœ Yuji Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 827 KB

This paper analyses a recurrent behavior of dynamic fuzzy systems defined by fuzzy relations on a Euclidean space. By introducing a recurrence for crisp sets, we prove probability-theoretical properties for the fuzzy systems. In the contractive case in Kurano et al. [Fuzzy Sets and Systems 51 (1992)