A Study on Non-Homogenous Markov Fuzzy Manpower Systems

Abstract

There are available research works which considered intra-state heterogeneity in personnel transition behavior due to latent factors in literature. None of these research works has captured any specific latent factor or combination of specific latent factors which influence the within-state transition differences in a manpower model. This work considers a hierarchical non-homogeneous manpower system in which promotion of employees is only assessable based on the level of innovativeness and job performance capability. For this system, a non-homogeneous Markov model which takes into account theory of fuzzy sets is proposed. The model is proposed to deal with the problem of vagueness associated with gradual transition of members between the crisp states of the
manpower system. It is also, proposed to incorporate key personality traits which influence employees within a homogeneous category to behave in different ways. The total transition probability matrix is estimated. The limiting probability structure for the fuzzy manpower system is obtained as [0.2181,0.2233,0.20280,0.3505]. This suggests that greater proportion of staff would possess advance level of openness and advance level of conscientiousness in the long run compared to other levels of combinations of
personnel traits.