A subjective approach for ranking fuzzy numbers
Fuzzy Sets and Systems
Ranking fuzzy numbers with index of optimism
Fuzzy Sets and Systems
Ranking fuzzy numbers with integral value
Fuzzy Sets and Systems
A probabilistic approach to rank complex fuzzy numbers
Fuzzy Sets and Systems
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
Comparison of clusters from fuzzy numbers
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Ranking fuzzy interval numbers in the setting of random sets — further results
Information Sciences: an International Journal
Ranking fuzzy numbers based on decomposition principle and signed distance
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Reasonable properties for the ordering of fuzzy quantities (I)
Fuzzy Sets and Systems
Reasonable properties for the ordering of fuzzy quantities (II)
Fuzzy Sets and Systems
Comparison of fuzzy values on a continuous domain
Fuzzy Sets and Systems
Ranking fuzzy numbers by preference ratio
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
Comparison of fuzzy numbers using a fuzzy distance measure
Fuzzy Sets and Systems - Fuzzy intervals
A simple approach to ranking a group of aggregated fuzzy utilities
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy critical path method based on signed distance ranking of fuzzy numbers
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Self-organizing fuzzy aggregation models to rank the objects with multiple attributes
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A method for ranking fuzzy numbers and its application to decision-making
IEEE Transactions on Fuzzy Systems
Investors' preference order of fuzzy numbers
Computers & Mathematics with Applications
Extension of the expected value method for multiple attribute decision making with fuzzy data
Knowledge-Based Systems
Computers & Mathematics with Applications
Parameterized defuzzification with continuous weighted quasi-arithmetic means - An extension
Information Sciences: an International Journal
Ranking L-R fuzzy number based on deviation degree
Information Sciences: an International Journal
Area ranking of fuzzy numbers based on positive and negative ideal points
Computers & Mathematics with Applications
Application of weighting functions to the ranking of fuzzy numbers
Computers & Mathematics with Applications
Advances in Fuzzy Systems
Computers and Industrial Engineering
Mathematical and Computer Modelling: An International Journal
Parameterized approximation of fuzzy number with minimum variance weighting functions
Mathematical and Computer Modelling: An International Journal
How different are ranking methods for fuzzy numbers? A numerical study
International Journal of Approximate Reasoning
Hi-index | 0.10 |
Based on the recent research developments of fuzzy number ranking, the paper extends the centroid expectation approach and proposes a preference weighting function expectation method to rank fuzzy numbers. The weighting function gives different emphasis on the possible values of the fuzzy number, which can be used to represent the decision maker's pessimistic, neutral, or optimistic attitude. An optimistic measure to represent this preference information is proposed. Some properties of the weighting function and optimistic measure are systematically analyzed. Then, the paper proposes a special class weighting function with maximum entropy principle and analyzes some of its properties. With this parameterized maximum entropy weighting function, we can get preference expectation of any fuzzy number with given optimistic level. Next, the weighting function is extended to represent the confidential attitude of the decision maker by giving different emphasis on the cut level set of the fuzzy number. Some results about confidential attitude that parallel to the valuation attitude are attained. We especially extended the BADD (basic defuzzification distribution) approach with preference expectation of fuzzy numbers, and another confidential measure with BADD operator is proposed. Finally, the expected valuations of fuzzy numbers are used to ranking the fuzzy numbers. Compared with other fuzzy number ranking methods, the method of this paper is easily interpreted, robust, flexible, and invariant with translating and scaling for real numbers.