In multiperson decision making situations, it is quite natural that different decision makers who may have different background and knowledge will provide their preferences by different kinds of preference relations. This paper proposes a linguistic multiperson decision making model (LMDMM) based on linguistic preference relations, integrating fuzzy preference relations, different types of mult...

In this paper we consider the infinite horizon H2/H∞ control problem for discrete-time timevarying linear systems subject to Markov jump parameters and state-multiplicative noises. A stochastic bounded real lemma is firstly developed for a class of discrete-time time-varying Markov jump systems with stateand disturbance-multiplicative noises. Based on which, a necessary and sufficient condition...

Mobile wireless networks offer numerous possibilities for applications in the current society. Since the radio transmitters become smaller, more and more mobile networks in which persons carry the mobile devices are developed. An example for such an network is given by a data communication network for soldiers or emergency workers, in which positions are exchanged in order to allow all persons ...

martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. in this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.

The mathematical modelling and representation of Tanino’s multiplicative transitivity property to the case of intuitionistic reciprocal preference relations (IRPRs) is derived via Zadeh’s extension principle and the representation theorem of fuzzy sets. This result guarantees the correct generalisation of the multiplicative transitivity property of reciprocal preference relations (RPRs), and it...

Additive and multiplicative aggregations of ratio scale preferences are frequently used in multi-criteria decision making models. In this paper, we compare the advantages and limitations of these two aggregation rules by exploring only their fundamental properties after ratio scaled local priorities and criteria weights have been successfully generated from the decision maker. The comparisons o...

8 This article investigates the consistency of interval fuzzy preference relations based on interval 9 arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent 10 and weakly transitive interval fuzzy preference relations. Transformation functions are put 11 forward to convert normalized interval weights into consistent interval fuzzy preference relations...