A Study on Homogeneous Fuzzy Semi-Markov Model
B. Praba, R. Sujatha, S. Srikrishna · 2009
In this paper, we have defined homogeneous fuzzy semi-Markov process through the interval fuzzy transition possibilities between the states. A large number of results have been obtained including the following conditional possibilities: the process will be in state j after a time t given that it entered at starting time in state i; the process will survive to a time t, given that the starting state; that it will continue to remain in the starting state up to time t; that it reach state j in the next transition, if the previous state was in i and no state change occurred up to time t. We have also analyzed the steady state behavior of homogeneous fuzzy semi-Markov process through steady state behavior of fuzzy Markov chain and average time spent in each state. These approaches are demonstrated by considering web navigational model.