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Sufficient conditions for the ergodicity of fuzzy Markov chains
- Source :
- Fuzzy Sets and Systems. 304:82-93
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- Analogous to the traditional Markov chains which have been studied extensively and have many successful applications, fuzzy Markov chains have been proposed for decision-making in an environment of uncertainty and imprecision for decades. It is known that results of fuzzy Markov chains depend on the transition matrix as well as the algebraic composition involved. In their study of max–min fuzzy Markov chains, Avrachenkov and Sanchez raised an open question for finding conditions to ensure the ergodicity of max–min fuzzy Markov chains. In this paper, we provide sufficient conditions for the ergodicity of both max–min and max-product fuzzy Markov chains. It is not surprising that such sufficient conditions are very different because of the max–min and max-product compositions.
- Subjects :
- Mathematical optimization
Markov chain mixing time
Markov kernel
Markov chain
Logic
Variable-order Markov model
0211 other engineering and technologies
Markov process
02 engineering and technology
Markov model
symbols.namesake
Artificial Intelligence
Markov renewal process
0202 electrical engineering, electronic engineering, information engineering
symbols
020201 artificial intelligence & image processing
Examples of Markov chains
MathematicsofComputing_DISCRETEMATHEMATICS
021101 geological & geomatics engineering
Mathematics
Subjects
Details
- ISSN :
- 01650114
- Volume :
- 304
- Database :
- OpenAIRE
- Journal :
- Fuzzy Sets and Systems
- Accession number :
- edsair.doi...........03a7fb175dc7bcaf0066df109f5e34d1