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EconPapers FAQ Archive maintainers FAQ Cookies at EconPapers Format for printing The RePEc blog The RePEc plagiarism page Linear Programming Problem with Interval Type 2 Fuzzy Coefficients and an Interpretation for Its ConstraintsA. Srinivasan and G. GeetharamaniJournal of Applied Mathematics, 2016, vol. 2016, 1-11Abstract:Interval type 2 fuzzy numbers are a special kind of type 2 fuzzy numbers. These numbers can be described by triangular and trapezoidal shapes. In this paper, first, perfectly normal interval type 2 trapezoidal fuzzy numbers with their left-hand and right-hand spreads and their core have been introduced, which are normal and convex; then a new type of fuzzy arithmetic operations for perfectly normal interval type 2 trapezoidal fuzzy numbers has been proposed based on the extension principle of normal type 1 trapezoidal fuzzy numbers. Moreover, in this proposal, linear programming problems with resources and technology coefficients are perfectly normal interval type 2 fuzzy numbers. To solve this kind of fuzzy linear programming problems, a method based on the degree of satisfaction (or possibility degree) of the constraints has been introduced. In this method the fulfillment of the constraints can be measured with the help of ranking method of fuzzy numbers. Optimal solution is obtained at different degree of satisfaction by using Barnes algorithm with the help of MATLAB. Finally, the optimal solution procedure is illustrated with numerical example.Date: 2016References: Add references at CitEc Citations: Track citations by RSS feedDownloads: (external link) (application/pdf) (text/xml)Related works:This item may be available elsewhere in EconPapers: Search for items with the same title.Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/TextPersistent link: :hin:jnljam:8496812DOI: 10.1155/2016/8496812Access Statistics for this articleMore articles in Journal of Applied Mathematics from HindawiBibliographic data for series maintained by Mohamed Abdelhakeem (Obfuscate( 'hindawi.com', 'mohamed.abdelhakeem' )). var addthis_config = {\"data_track_clickback\":true}; var addthis_share = { url:\" :hin:jnljam:8496812\"}Share This site is part of RePEc and all the data displayed here is part of the RePEc data set. Is your work missing from RePEc Here is how to contribute. Questions or problems Check the EconPapers FAQ or send mail to Obfuscate( 'oru.se', 'econpapers' ). EconPapers is hosted by the Örebro University School of Business. 1e1e36bf2d
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