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Decision-Making Based on Dual Probabilistic Linguistic Term Sets with Incomplete Assessments of Comparative Linguistic Expressions
Rabiah Bibi and Badar-Un-Nissa
Abstract:
Decision making in multi-criteria group situations usually follows a qualitative process. Natural language is preferred by decision makers (DMs) when conveying information in the decision making process. It is imperative for DMs to Utilizing the Probabilistic Linguistic Term Sets (PLTS) as a means of displaying information about their respective decisions. A number of decision-making processes rely on probabilistic linguistic term sets (PLTSs) because the ease of assessment and the ability to use probability information. To improve representations of real-world complexity and uncertainty, this work is to introduce the dual probabilistic linguistic term sets (DPLTSs), which is an extended form of PLTS. When evaluating alternatives, sometimes the evaluators can only give a comparative assessment and evaluators sometimes struggle to understand all the alternatives and cannot give a comprehensive evaluation. Therefore, in this work, comparative linguistic expressions (CLEs) are transformed into Dual Probabilistic Linguistic Term Sets (DPLTSs) and alternatives are evaluated by DPLTSs in CLEs. As a result, the probability distribution of the transformation was adjusted for greater consistency with common sense. Furthermore, we identify some basic DPLTS operations laws. An accuracy function and a score function are defined in order to compare two DPLTSs. We propose that an evaluation decision making method can be developed, combining both CLEs and incomplete assessments. This work is finally accomplished by using a numerical example to illustrate the use of the proposed method. Calculation of the result proved to be simple, straightforward and e¤ective. It is possible to apply the proposed method successfully to other selection problems as well, resulting in the selection of suitable alternatives. According to the results of this study, DPLTS-based evaluations and decision-makings are more exible and less prone to limitations.
Keywords:
FS, HFS, HFLTS, PLTS, PLN, DPLTS, CLE and Decision making
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