Discrete-time hybrid processes and discounted total expected values

Authors:
Masayuki Kageyama;Buheeerdun Yang;Pingjun Hou
Affiliations:
The Institute of Statistical Mathematics, Tachikawa, Japan 190-8562;Graduate School of Science, Chiba University, Chiba, Japan;Graduate School of Science, Chiba University, Chiba, Japan
Venue:
Fuzzy Optimization and Decision Making
Year:
2011

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Abstract

A Markov-type hybrid process with discrete parameters is constructed from credibilistic kernels and stochastic kernels. To evaluate a hybrid reward process, a discounted total expected value is defined, which is characterized as a fixed point of the corresponding operator. Also, examples are given.