The group decision making process based on probabilistic linguistic preference relations
نویسنده
چکیده
Since the concept of linguistic variables was proposed, various kinds of linguistic terms have been used to express decision makers’ preference information in order to solve group decision making (GDM) problems. Probabilistic linguistic term set (PLTS) is a novel extension form of the existing linguistic variables. Based on it, the probabilistic linguistic preference relation (PLPR) has been proposed. In the GDM problem, we must make sure of the consistency level of preference relations at first. In this paper, we propose the expected consistency of PLPR, develop a modeling method to check the expected consistency level of PLPR and to obtain the priority weights of alternatives. Then, we put forward the probabilistic linguistic power average (PLPA) operator to aggregate decision makers’ preference relations into collective one. A practical case is given to show the effectiveness of the proposed method.
منابع مشابه
Group decision making based on multiple types of linguistic preference relations
In this paper, we investigate group decision making problems with multiple types of linguistic preference relations. The paper has two parts with similar structures. In the first part, we transform the uncertain additive linguistic preference relations into the expected additive linguistic preference relations, and present a procedure for group decision making based on multiple types of additiv...
متن کاملLinguistic multiperson decision making based on the use of multiple preference relations
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...
متن کاملGroup decision making with incomplete fuzzy linguistic preference relations
The aim of this paper is to propose a procedure to estimate missing preference values when dealing with incomplete fuzzy linguistic preference relations assessed using a 2–tuple fuzzy linguistic approach. This procedure attempts to estimate the missing information in an individual incomplete fuzzy linguistic preference relation using only the preference values provided by the respective expert....
متن کاملLinguistic Modelling in Group Decision Making Linguistic Modelling in Group Decision Making
Sometimes, an individual may have vague information about the preference degree between two alternatives and can not estimate his preferences with an exact numerical value. Then, a possible approach is to use linguistic assessments instead of numerical values, that is, to suppose that the preference relations are assessed by means of linguistic terms. A scale of certainty expressions, linguisti...
متن کاملA new integrated group decision making framework with linguistic interval fuzzy preference relations
The high complexity of socio-economic environments often makes it difficult for a single decision maker (DM) to consider all important aspects of decision problems. Therefore, a group decision making (GDM) process is often preferred by organizations. Moreover, during the decision process, DMs may have difficulties in the prioritization of alternatives. Linguistic interval fuzzy preference relat...
متن کامل