Probabilistic Quadratic Programming Problems with Some Fuzzy Parameters
Joint Authors
Source
Advances in Operations Research
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Information Technology and Computer Science
Abstract EN
We present a solution procedure for a quadratic programming problem with some probabilistic constraints where the model parameters are either triangular fuzzy number or trapezoidal fuzzy number.
Randomness and fuzziness are present in some real-life situations, so it makes perfect sense to address decision making problem by using some specified random variables and fuzzy numbers.
In the present paper, randomness is characterized by Weibull random variables and fuzziness is characterized by triangular and trapezoidal fuzzy number.
A defuzzification method has been introduced for finding the crisp values of the fuzzy numbers using the proportional probability density function associated with the membership functions of these fuzzy numbers.
An equivalent deterministic crisp model has been established in order to solve the proposed model.
Finally, a numerical example is presented to illustrate the solution procedure.
American Psychological Association (APA)
Barik, S. K.& Biswal, M. P.. 2012. Probabilistic Quadratic Programming Problems with Some Fuzzy Parameters. Advances in Operations Research،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-486947
Modern Language Association (MLA)
Barik, S. K.& Biswal, M. P.. Probabilistic Quadratic Programming Problems with Some Fuzzy Parameters. Advances in Operations Research No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-486947
American Medical Association (AMA)
Barik, S. K.& Biswal, M. P.. Probabilistic Quadratic Programming Problems with Some Fuzzy Parameters. Advances in Operations Research. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-486947
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486947