[PDF] Top 20 Bilevel Linear Programming Problems with Quadratic Membership Functions of Fuzzy Parameters

... conventional bilevel or multilevel mathematical programming models employing the solution concept of Stackelberg equilibrium, it is assumed that there is no com- munication among DMs, or they do not make ... See full document

... mathematical programming has charmed a number of researchers across different fields due to close association with real life ...interval parameters were among the early efforts for the inclusion of ...to ... See full document

... the linear programming problems are, i) Converting the problems to its crisp equivalent and ii) Solving the problem without converting it to its crisp equivalent using the fuzzy ...use ... See full document

... Novo Linear Programming (F- MDNLP) problem has been developed under consideration of the ambiguity of ...These fuzzy parameters are characterized by fuzzy ...A fuzzy goal ... See full document

... hesitant fuzzy sets, Zhou et ...a linear programming model used to determine the number of suppliers to utilize and purchase quantity allocations among ...suppliers. Fuzzy set theory is useful ... See full document

... of fuzzy programming have been yielded[2,3,4,5,6] ...particular, fuzzy programming, whose objective functions are fuzzy quadratic and constraint conditions are ... See full document

... fully fuzzy bilevel linear programming (FFBLP) wherein all the co- efficients and decision variables in both the objective functions and constraints are triangular fuzzy ...the ... See full document

... in fuzzy environment. Af- ter the pioneering work on fuzzy linear programming problems (FLPP) in Tanaka et ...the problems where all parameters are ...the ... See full document

... Convex quadratic bilevel programming problem is a special class of nonlinear bilevel programming problems, because all of its objective function is convex quadratic ... See full document

... multiobjective linear programming problems where multiple decision makers in a hierarchical organiza- tion have their own multiple objective linear functions together with common ... See full document

... These are pairs of one-level mathematical programs that clearly express the bounds of the objective values at a specific 𝛼 value. In these conventional quadratic programming problems, the objective ... See full document

... world problems are inherently characterized by multiple, conflicting and incommensurate aspect of ...objective functions to be optimized in the framework of multiple objective linear ... See full document

... the fuzzy approaches with linear, hyperbolic and exponential membership functions in the next section (We call these as the hyperbolic, exponential and linear approaches ... See full document

... the fuzzy set theory 13 for decision problems with several conflicting objectives was first introduced by Zimmermann ...of fuzzy programming FP have been investigated and widely circulated in ... See full document

... of linear equations, which will be denoted as , is solved to obtain the nonzero ...of linear equations after omitting the inactive constraints from the system and the columns corresponding to the zero ... See full document

... define fuzzy membership of an interval being a minimum and a maximum of an interval vector and then we define the notion of a least and greatest interval in as defined in next ...binary fuzzy ... See full document

... In the design of optimal structure i.e. lightest weight of the structure and minimum deflection of loaded joint that satisfies all stress constraints in members of the structure. To bar truss structure system the basic ... See full document

... Bilevel programming is proposed in the literature for dealing with hierarchical ...mization problems where the data of the first one is im- plicitly determined by the solution of the ...space. ... See full document

... many problems have been modeled by bilevel programming (BLP) problems, where in each level one must optimize some objective ...the linear version of BLP ... See full document

... Our main contribution is to propose a user-friendly environment consisting by a set of Fortran 90 modules to solve a bilevel programming problem using IR without reformulating it as a single-level problem. ... See full document