@misc{10818/36965, year = {2010}, url = {http://hdl.handle.net/10818/36965}, abstract = {This paper presents a method to transform Fuzzy Markov chains into Crisp Markov chains by means of an equivalence matrix derived from the concept of Scalar cardinality of a fuzzy set. This proposal is a linear transformation of the fuzzy space into a probability space. In this paper, a finite-state Fuzzy Markov Chain is transformed into a crisp Markov chain by a linear operator. It is a projection of the fuzzy space into a probability space which allows to compare them one another.}, publisher = {International Conference on Intelligent Computing}, keywords = {Markov Chain}, keywords = {Stationary Distribution}, keywords = {Fuzzy Relation}, keywords = {Stationary Transition Matrix Fuzzy Random Variable}, title = {Scalarization of Type-1 Fuzzy Markov Chains}, doi = {10.1007/978-3-642-14922-1_15}, author = {Kalenatic, Dusko and Figueroa García, Juan Carlos and López, Cesar Amílcar}, }