NDLI: An expected value model of quadratic clique problem on a graph with fuzzy parameters

Content Provider	IEEE Xplore Digital Library
Author	Nayeem, S.M.A.
Copyright Year	2012
Description	Author affiliation: Department of Mathematics, Aliah University, Kolkata - 700 091, India (Nayeem, S.M.A.)
Abstract	A clique is a subset of vertices of a graph, such that there is an edge between every pair of vertices of the subset. The maximum weight clique problem, which has wide applications in the fields of communication, and distribution networks, asks for a clique of maximum weight. Here we have considered the quadratic version of the maximum weight clique problem. Costs of all the vertices are considered as fuzzy numbers. The direct cost associated with the vertices may represent the construction or running cost, whereas, the penalty cost, which is caused by simultaneous selection of particular pair of vertices, may explain two interactional activities. Using a generalization of credibility measure, the problem is formulated as an expected value model. Then the crisp equivalents are derived when the fuzzy costs are characterized by intervals or triangular fuzzy numbers. Furthermore, a fuzzy simulation based hybrid genetic algorithm is designed to solve the proposed model.
Starting Page	592
Ending Page	597
File Size	156532
Page Count	6
File Format	PDF
ISBN	9781467351171
ISSN	21647143
e-ISBN	9781467351195
DOI	10.1109/ISDA.2012.6416604
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-27
Publisher Place	India
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	interval numbers Computational modeling Linear programming Function approximation Biological cells Genetic algorithms Maximum clique triangular fuzzy numbers Approximation algorithms credibility expected value possibility necessity
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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