A probabilistic approach to rank complex fuzzy numbers
Fuzzy Sets and Systems
A context-dependent method for ordering fuzzy numbers using probabilites
Information Sciences—Informatics and Computer Science: An International Journal
Expert Systems with Applications: An International Journal
Loss Aversion Under Prospect Theory: A Parameter-Free Measurement
Management Science
Expert Systems with Applications: An International Journal
Short communication: A novel method for hybrid multiple attribute decision making
Knowledge-Based Systems
An approach to solve group-decision-making problems with ordinal interval numbers
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Grey relational analysis model for dynamic hybrid multiple attribute decision making
Knowledge-Based Systems
Combining prospect theory and fuzzy numbers to multi-criteria decision making
Expert Systems with Applications: An International Journal
Mathematical and Computer Modelling: An International Journal
Multicriteria analysis of natural gas destination in Brazil: An application of the TODIM method
Mathematical and Computer Modelling: An International Journal
A new hybrid MCDM model combining DANP with VIKOR to improve e-store business
Knowledge-Based Systems
A study of TODIM in a intuitionistic fuzzy and random environment
Expert Systems with Applications: An International Journal
Short Communication: IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making
Knowledge-Based Systems
Expert Systems with Applications: An International Journal
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TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) is a method for solving the multiple attribute decision making (MADM) problem considering decision maker's (DM's) behavior, in which the attribute values are in the format of crisp numbers. It cannot be used to handle hybrid MADM problems with various formats of attribute values. In this paper, an extended TODIM method is proposed to solve the hybrid MADM problem. First, three formats of attribute values (crisp numbers, interval numbers and fuzzy numbers) are expressed in the format of random variables with cumulative distribution functions. Then, according to the concept of the classical TODIM method, the gain and loss matrices concerning each attribute are constructed by calculating the gain and loss of each alternative relative to the others. Further, by calculating the dominance degree of each alternative over the others, the overall value of each alternative can be obtained to rank the alternatives. Finally, two numerical examples are used to illustrate the use of the proposed method.