Chance constrained programming with fuzzy parameters
Fuzzy Sets and Systems
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Pattern recognition using type-II fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Computing with words and its relationships with fuzzistics
Information Sciences: an International Journal
Fuzzy fixed charge solid transportation problem and algorithm
Applied Soft Computing
Uncertainty measures for interval type-2 fuzzy sets
Information Sciences: an International Journal
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
Computers & Mathematics with Applications
Type-2 fuzzy variables and their arithmetic
Soft Computing - A Fusion of Foundations, Methodologies and Applications
An improved method for edge detection based on interval type-2 fuzzy logic
Expert Systems with Applications: An International Journal
Methods of critical value reduction for type-2 fuzzy variables and their applications
Journal of Computational and Applied Mathematics
Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
The sampling method of defuzzification for type-2 fuzzy sets: Experimental evaluation
Information Sciences: an International Journal
A survey-based type-2 fuzzy logic system for energy management in hybrid electrical vehicles
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 1, Forward Problems
IEEE Transactions on Fuzzy Systems
Interval Type-2 Fuzzy Logic Systems Made Simple
IEEE Transactions on Fuzzy Systems
A Fast Geometric Method for Defuzzification of Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Encoding Words Into Interval Type-2 Fuzzy Sets Using an Interval Approach
IEEE Transactions on Fuzzy Systems
An entropy based solid transportation problem for general fuzzy costs and time with fuzzy equality
Mathematical and Computer Modelling: An International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A new indirect approach to the type-2 fuzzy systems modeling and design
Information Sciences: an International Journal
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This paper considers two fixed charge transportation problems with type-2 fuzzy parameters. Unit transportation costs, fixed costs in the first problem and unit transportation costs, fixed costs, supplies and demands in the second problem are type-2 fuzzy variables. For the first problem, to get corresponding defuzzified values of the type-2 fuzzy cost parameters, first critical value (CV)-based reduction methods are applied to reduce type-2 fuzzy variables into type-1 fuzzy variables and then centroid method is used for complete defuzzification. Besides this, we also apply geometric defuzzification method to the type-2 fuzzy cost parameters in the first problem to provide a comparison of the results. Coming to the second problem, a chance-constrained programming model is formulated using generalized credibility measure for the objective function as well as the constraints with the CV-based reductions of corresponding type-2 fuzzy parameters. Next, the reduced model is turned into equivalent parametric programming problem. The deterministic problems so obtained are then solved by using the standard optimization solver - LINGO. We have provided numerical examples illustrating the proposed models and techniques. Some sensitivity analyzes for the second model are also presented.