Preference relations on a set of fuzzy utilities as a basis for decision making
Fuzzy Sets and Systems
Advances in the Dempster-Shafer theory of evidence
Advances in the Dempster-Shafer theory of evidence
Min-transitivity of fuzzy leftness relationship and its application to decision making
Fuzzy Sets and Systems
Representation and application of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Preference relation on fuzzy utilities based on fuzzy leftness relation on intervals
Fuzzy Sets and Systems
Ranking fuzzy interval numbers in the setting of random sets — further results
Information Sciences: an International Journal
Modeling uncertainty using partial information
Information Sciences: an International Journal
Modeling vague beliefs using fuzzy-valued belief structures
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Reasonable properties for the ordering of fuzzy quantities (II)
Fuzzy Sets and Systems
Ranking fuzzy numbers using ω-weighted valuations
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
A context-dependent method for ordering fuzzy numbers using probabilites
Information Sciences—Informatics and Computer Science: An International Journal
Uncertainty Models for Knowledge-Based Systems; A Unified Approach to the Measurement of Uncertainty
Uncertainty Models for Knowledge-Based Systems; A Unified Approach to the Measurement of Uncertainty
Some algebraic properties and a distance measure for interval-valued fuzzy numbers
Information Sciences—Applications: An International Journal
A Constructive Numerical Method for the Comparison of Intervals
PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
Fuzzy modeling of manufacturing and logistic systems
Mathematics and Computers in Simulation
Ranking the sequences of fuzzy values
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences—Informatics and Computer Science: An International Journal
A preference aggregation method through the estimation of utility intervals
Computers and Operations Research
Two-objective method for crisp and fuzzy interval comparison in optimization
Computers and Operations Research
Ranking of fuzzy numbers by sign distance
Information Sciences: an International Journal
Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets
Automatica (Journal of IFAC)
Quantitative analysis of properties and spatial relations of fuzzy image regions
IEEE Transactions on Fuzzy Systems
A New Method for Decision Making in the Intuitionistic Fuzzy Setting
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Fuzzy logic based algorithms for maximum covering location problems
Information Sciences: an International Journal
Extending stochastic ordering to belief functions on the real line
Information Sciences: an International Journal
Mathematics and Computers in Simulation
Mass function derivation and combination in multivariate data spaces
Information Sciences: an International Journal
A new approach to the rule-base evidential reasoning: Stock trading expert system application
Expert Systems with Applications: An International Journal
Switching-based filter based on Dempster's combination rule for image processing
Information Sciences: an International Journal
An interpretation of intuitionistic fuzzy sets in the framework of the dempster-shafer theory
ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
Performance evaluation of road traffic control using a fuzzy cellular model
HAIS'11 Proceedings of the 6th international conference on Hybrid artificial intelligent systems - Volume Part II
Expert Systems with Applications: An International Journal
A stock trading expert system based on the rule-base evidential reasoning using Level 2 Quotes
Expert Systems with Applications: An International Journal
A new method for comparing interval-valued intuitionistic fuzzy values
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
A method for comparing intervals with interval bounds
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Direct interval extension of TOPSIS method
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
A direct interval extension of TOPSIS method
Expert Systems with Applications: An International Journal
An approach to generalization of fuzzy TOPSIS method
Information Sciences: an International Journal
Dempster Shafer neural network algorithm for land vehicle navigation application
Information Sciences: an International Journal
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There are many different methods for interval and fuzzy number comparison proposed in the literature which provide the results of comparison in the form of a real or Boolean value. In this paper, we use the Dempster-Shafer theory of evidence with its probabilistic interpretation to justify and construct the method which provides the result of comparison in the form of an interval or fuzzy number. The complete and consistent set of expressions for inequality and equality relations between intervals and fuzzy numbers has been obtained in the framework of the probabilistic approach. These relations make it possible to compare intervals and fuzzy numbers with real values and may be considered as an asymptotic limit of the results we obtain using the Dempster-Shafer theory. A natural fuzzy extension of the proposed approach is considered and discussed using some illustrative examples.