Fuzzy Sets and Systems
An existence theorem for fuzzy utility functions: a new elementary proof
Fuzzy Sets and Systems
Linguistic decision analysis: steps for solving decision problems under linguistic information
Fuzzy Sets and Systems - Special issue on soft decision analysis
An alternative approach to computing with words
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Project Selection by Constrained Fuzzy AHP
Fuzzy Optimization and Decision Making
Fuzzy Application to the Analytic Hierarchy Process for Robot Selection
Fuzzy Optimization and Decision Making
A fuzzy closeness approach to fuzzy multi-attribute decision making
Fuzzy Optimization and Decision Making
Multi-objective Group Decision Making: Methods, Software and Applications With Fuzzy Set Techniques
Multi-objective Group Decision Making: Methods, Software and Applications With Fuzzy Set Techniques
Generalized theory of uncertainty (GTU)-principal concepts and ideas
Computational Statistics & Data Analysis
Computing with words in decision making: foundations, trends and prospects
Fuzzy Optimization and Decision Making
Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean
Fuzzy Sets and Systems
Discussion forum: what computing with words means tome
IEEE Computational Intelligence Magazine
Fuzzy Optimization and Decision Making
Ranking probability measures by inclusion indices in the case of unknown utility function
Fuzzy Optimization and Decision Making
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In the realm of decision making under uncertainty, the general approach is the use of the utility theories. The main disadvantage of this approach is that it is based on an evaluation of a vector-valued alternative by means of a scalar-valued quantity. This transformation is counterintuitive and leads to loss of information. The latter is related to restrictive assumptions on preferences underlying utility models like independence, completeness, transitivity etc. Relaxation of these assumptions results into more adequate but less tractable models. In contrast, humans conduct direct comparison of alternatives as vectors of attributes' values and don't use artificial scalar values. Although vector-valued utility function-based methods exist, a fundamental axiomatic theory is absent and the problem of a direct comparison of vectors remains a challenge with a wide scope of research and applications. In the realm of multicriteria decision making there exist approaches like TOPSIS and AHP to various extent utilizing components-wise comparison of vectors. Basic principle of such comparison is the Pareto optimality which is based on a counterintuitive assumption that all alternatives within a Pareto optimal set are considered equally optimal. The above mentioned mandates necessity to develop new decision approaches based on direct comparison of vector-valued alternatives. In this paper we suggest a fuzzy Pareto optimality (FPO) based approach to decision making with fuzzy probabilities representing linguistic decision-relevant information. We use FPO concept to differentiate "more optimal" solutions from "less optimal" solutions. This is intuitive, especially when dealing with imperfect information. An example is solved to show the validity of the suggested ideas.