[PDF] Top 20 Fuzzy Programming With Quadratic Membership Functions For Multi-objective Transportation Problem

... two objective functions are, minimized separately with respect to the same set of ...the objective functions are L 1 = 143, L 2 =167 and the upper bounds are U 1 = 208, U 2 = ...linear ... See full document

... of multi-objective transportation problem via fuzzy programming ...of transportation from source i to destination j were ...hyperbolic membership function, then the ... See full document

... membership functions and applied them to an optimal design ...the fuzzy programming technique with some non-linear (hyperbolic and exponential) membership functions to solve a ... See full document

... a multi-objective transportation problem whose transportation cost is varying due to capacity of 2 -vehicles as well as transport ...-vehicle multi-objective cost varying ... See full document

... Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator ... See full document

... a quadratic membership ...bilevel programming problem, we consider the concepts of Stackelberg solutions under fuzziness by incorporating possibility theory into the original Stackelberg ... See full document

... an objective variability in the model parameters (Randomness), or a lack of knowledge of the parameter values (epistemic ...the membership or non-membership of an element in a ...by fuzzy ... See full document

... also, quadratic programming problem (QPP) with fuzzy parameters has been ...with membership function approach was used by Liu [8] to reduce fuzzy quadratic ... See full document

... intuitionistic fuzzy optimization with fuzzy optimization method for membership and non-membership we also obtained the solution of the undertaken numerical problem by fuzzy ... See full document

... of fuzzy Multi-objective mathematical programming ...in fuzzy environment was further studied and was applied in various areas by many ...intuitionistic fuzzy sets as a powerful ... See full document

... allocation problem of repairable components for a parallel- series system as a multi-objective optimization problem and have discussed two different ...as multi-objective ... See full document

... low, fuzzy member- ship function can be used to quantify ...and fuzzy membership functions of these uncertain or qualitative variables can be included in quantitative optimization ...how ... See full document

... multiple objective problems, that is, multiple objec- tive solid transportation problems ...a fuzzy pro- gramming approach to solve a MOSTP; Ida et ...two-phase fuzzy algorithms to solve ... See full document

... developed fuzzy TOPSIS approach based on subjective weights and objective ...MODM problem using TOPSIS ...solving multi – level non – linear multi – objective decision making ... See full document

... studied multi-objective transportation model with normal trapezoidal fuzzy numbers based on priority based fuzzy goal ...based fuzzy goal programming method for ... See full document

... of fuzzy Multi-objective mathematical programming ...in fuzzy environment was further studied and was applied in various areas by many ...intuitionistic fuzzy sets as a powerful ... See full document

... Membership functions, such as linear, piecewise linear, exponential, and hyperbolic functions, were used in different ...linear membership functions are frequently applied for the ... See full document

... above fuzzy numbers are assumed to triangular fuzzy numbers parameterized by a triplet expressed in the form (a 1 , a 2 , a 3 ) where a 1 and a 3 are the lower and upper limits of a fuzzy number and ... See full document

... solve multi-level multi-objective quadratic programming (MLMOQP) problem, involving trapezoidal fuzzy numbers in the right hand side of the constraint, the suggested ... See full document

... introduced fuzzy STP in the case in which the fuzziness affects the constraint ...considered multi-criteria STP with fuzzy numbers; Li et ...solving multi-objective STP with coefficient ... See full document