Interval and Fuzzy Linear Programming (Demonstrated by Example)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F07%3A00017196" target="_blank" >RIV/61989100:27510/07:00017196 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Interval and Fuzzy Linear Programming (Demonstrated by Example)
Original language description
In this paper, the well known problem of linear programming (LP) with interval (ILP) and fuzzy coefficients (FLP) is investigated. Pessimistic and optimistic solution of ILP problem is defined and discussed. Then FLP problem with fuzzy inequality relations, fuzzy maximization and fuzzy constraints is investigated. Fuzzy coefficients are taken in the form of fuzzy intervals, particularly triangular fuzzy numbers. Arithmetic operations with fuzzy numbers are introduced and 2 types of inequality relationsbetween fuzzy numbers, particularly Pessimistic/Optimistic-inequality relations are investigated. Then a-feasible solution of FLP problem and a-optimal solution of FLP problem is considered. Other approaches are also mentioned and advantages/disadvantages of various approaches are discussed. The introduced concepts are demonstrated on simple examples solved by Excel-Solver and displayed by a graphical aid.
Czech name
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Czech description
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Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
25th International Conference on Mathematical Methods in Economics
ISBN
978-80-248-1457-5
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
VŠB-TU Ostrava
Place of publication
Ostrava
Event location
Ostrava
Event date
Sep 4, 2007
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000262102500038

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