The Shape of the Optimal Value of a Fuzzy Linear Programming Problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385566" target="_blank" >RIV/00216208:11320/18:10385566 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-319-67137-6_31" target="_blank" >https://doi.org/10.1007/978-3-319-67137-6_31</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-67137-6_31" target="_blank" >10.1007/978-3-319-67137-6_31</a>
Alternative languages
Result language
angličtina
Original language name
The Shape of the Optimal Value of a Fuzzy Linear Programming Problem
Original language description
We investigate the shape of the optimal value of a linear programming problem with fuzzy-number coefficients. We build on the classical and also very recent results from interval linear programming as well as from parametric programming. We show that under general assumptions the optimal value is a well-defined fuzzy number. Its shape is piecewise polynomial provided the shape of the input fuzzy coefficients are polynomial. We also show in particular that the optimal value shape is triangular as long as the following conditions are satisfied: the input fuzzy numbers are triangular and affect only the objective function or the right-hand side, and the problem is so called basis stable.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
50201 - Economic Theory
Result continuities
Project
<a href="/en/project/GA13-10660S" target="_blank" >GA13-10660S: Interval methods for optimization problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
FUZZY LOGIC IN INTELLIGENT SYSTEM DESIGN: THEORY AND APPLICATIONS
ISBN
978-3-319-67137-6
ISSN
2194-5357
e-ISSN
neuvedeno
Number of pages
6
Pages from-to
281-286
Publisher name
SPRINGER INTERNATIONAL PUBLISHING AG
Place of publication
CHAM
Event location
Cancun
Event date
Oct 16, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000431389800031