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160. Associated Probabilities and Insufficient Expert Data in Multi-Criteria Decision Making
Invited abstract in session WA-47: Fuzzy sets and systems, stream Multiple Criteria Decision Analysis.
Wednesday, 8:30-10:00Room: 50 (building: 324)
Authors (first author is the speaker)
| 1. | Tinatin Davitashvili
|
| The Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University | |
| 2. | Gia Sirbiladze
|
| Department of Computer Sciences, Iv.Javakhishvili Tbilisi State University |
Abstract
Problems of modeling of uncertainty and imprecision for the analysis of the insufficient expert data (IED) is considered in the environment of interactive group multi-criteria decision making (MCDM). Uncertainty index is presented by the fuzzy measure on alternatives set. Based on the informational entropy maximum principle, moments’ method for the IED is developed for the evaluation of associated probabilities class (APC) of Choquet’s second order capacity. The second pole of the IED - the data imprecision in the form of a fuzzy subset (image) on alternatives set is constructed. Based on the Sugeno finite integral most typical value (MTV) as a prediction on possible alternatives set for the IED is constructed. In MTV the both poles of the IED (APC and image) are accumulated. The numerical example illustrates the possibilities of the approach, in the optimal selection of recommendation elements from MCDM alternatives. The sensitive and comparative analysis for this example is provided.
Keywords
- Decision Analysis
- Fuzzy Sets and Systems
Status: accepted
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