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Fuzzy goal programming technique for multi-objective indefinite quadratic bilevel programming problem

Arora R., Gupta K.

Archives of Control Sciences

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2020

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Vol. 30, No. 4

683--699

EN

Bilevel programming problem is a non-convex two stage decision making process in which the constraint region of upper level is determined by the lower level problem. In this paper, a multi-objective indefinite quadratic bilevel programming problem (MOIQBP) is presented. The defined problem (MOIQBP) has multi-objective functions at both the levels. The followers are independent at the lower level. A fuzzy goal programming methodology is employed which minimizes the sum of the negative deviational variables of both the levels to obtain highest membership value of each of the fuzzy goal. The membership function for the objective functions at each level is defined. As these membership functions are quadratic they are linearized by Taylor series approximation. The membership function for the decision variables at both levels is also determined. The individual optimal solution of objective functions at each level is used for formulating an integrated pay-off matrix. The aspiration levels for the decision makers are ascertained from this matrix. An algorithm is developed to obtain a compromise optimal solution for (MOIQBP). A numerical example is exhibited to evince the algorithm. The computing software LINGO 17.0 has been used for solving this problem.

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Branch and bound algorithm for discrete multi- level linear fractional programming problem

Arora R., Gupta K.

Operations Research and Decisions

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2018

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Vol. 28, No. 2

5--21

EN

An algorithm is proposed to find an integer solution for bilevel linear fractional programming problem with discrete variables. The method develops a cut that removes the integer solutions which are not bilevel feasible. The proposed method is extended from bilevel to multilevel linear fractional programming problems with discrete variables. The solution procedure for both the algorithms is elucidated in the paper.

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Using Web Services to enhance Geographic Information Systems

Ladner R., Petry F., Warner E., Gupta K.

Control and Cybernetics

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2006

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Vol. 35, no 1

29-46

EN

In this paper we describe an approach to the extension of geographic information systems to take advantage of the continuing development of capabilities of the Semantic Web. This is presented in the context of a portal based Geospatial Information Database (GIDB™), an object-oriented spatial database capable of storing multiple data types from multiple sources. We have developed our approach for a specific domain, spatially oriented, meteorological and oceanographic, but this can clearly be applied to other Spatial data domains. Finally we illustrate the use of the ontology development system based on Generative Sublanguage Ontologies (GSO), a type of linguistic ontology inspired by the Generative Lexicon Theory, to develop effective domain ontologies.