[PDF] Top 20 Duality in nonlinear programming problems under fuzzy environment with exponential membership functions

... introduced fuzzy set theory by publishing the first article in this ...chain problems, management sciences, etc. Fuzzy control, which directly uses fuzzy rules, is the important application in ... See full document

... bilevel programming problem into a deterministic nonlinear bilevel programming ...conventional nonlinear bilevel programming ... See full document

... Fuzzy nonlinear programming problem (FNLPP) is useful in solving problems which are difficult, impossible to solve due to the imprecise, subjective nature of the problem formulation or have an ... See full document

... a nonlinear programming technique to get an integer compromise optimal solution Verma et al[11] presented the following three fuzzy optimization models using hyperbolic, exponential and linear ... See full document

... the fuzzy linear programming problems using linear and nonlinear membership ...the Fuzzy MOLP problem to the corresponding ordinary one using the ranking function and hence ... See full document

... linear programming problems with trapezoidal fuzzy variables,” Fuzzy Sets and Systems, ...a fuzzy environment,” Management Science, ... See full document

... UADRATIC programming with crisp parameters limits its vast scope, keeping in view the rigidity involved in data ...or fuzzy parameters which is applicable in general is one of the most sought after ... See full document

... using fuzzy concept in decision making has been performed by Bellman and Zadeh [1] through introducing fuzzy goals, costs and ...The fuzzy linear programming model was formulated and an ... See full document

... known. Fuzzy sets theory, introduced by Zadeh [24] make this possible. Fuzzy numerical data can be represented by means of fuzzy subsets of the real line, known as fuzzy ...to fuzzy ... See full document

... It is observed that the result obtained in this paper is very close to those obtained using trapezoidal membership function ( as in [13]) and those using hyperbolic membership function (as in [14]) in the ... See full document

... requirement, fuzzy logic is probably efficient method available for character ...recognition. Fuzzy systems are robust; even if some rules are removed from the rule map, the system could still work ... See full document

... Fractional programming problems have been studied with different characteristics of functions or diverse ...fractional programming problems since ...[], under the concept of ... See full document

... = second point = 0, third point = 0 + 3 = 3, fourth Point = 0 + (2 * 3) = 6. These are the x‐ coordinates for the four points defining the corners of membership function. Since the member‐ ship function value ... See full document

... the fuzzy based privacy preserving method for protecting sensitive data in Privacy preserving data ...mining. Fuzzy based member ship functions like Bell shape, S- Shape and PI shape member ship ... See full document

... subset programming, multi-objective problems have been investigated in [4, 7], and multi-objective fractional problems in [5, ...optimization problems with set functions, for example ... See full document

... and duality theorems for a nondifferentiable minimax fractional programming problem with B-(p, ...conditions. Duality results are presented in Section ... See full document

... for fuzzy parametric multiobjective nonlinear program- ming, which represents the set of all fuzzy parameters for which an α-Pareto optimal point for one fuzzy parameter rests α-Pareto optimal ... See full document

... continuous programming problem associated with a class of nondifferentiable continuous programming problems is ...formulated. Under second-order pseudo-invexity and second-order quasi-invexity ... See full document

... the membership functions (agreement or non-agreement) are ...mediative fuzzy logic, many problems have proved the benefits of its ...mediative fuzzy logic results were compared with ... 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