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Duality in fuzzy multiple objective linear programming with possibility and necessity relations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F06%3A00000011" target="_blank" >RIV/47813059:19520/06:00000011 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Duality in fuzzy multiple objective linear programming with possibility and necessity relations

  • Original language description

    In this paper a class of fuzzy multiple objective linear programming (FMLP) problems based on fuzzy relations is introduced, the concepts of feasible and alpha-efficient solutions are defined. It is shown that the class of crisp (classical) LP problems and interval LP problems can be embedded into the class of FMLP ones. Moreover, for FMLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived.

  • Czech name

    Dualita ve fuzzy vícekriteriálním lineárním programování s possibility a necessity relacemi

  • Czech description

    Kapitola se zabývá problémy duality ve fuzzy vícekriteriálním programování s possibility a necessity relacemi.

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA402%2F06%2F0431" target="_blank" >GA402/06/0431: Research and further further development of multi-criteria decision methods and its application to the public sector</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2006

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Multiple Cruteria Decision making

  • ISBN

    83-7246-843-5

  • Number of pages of the result

    24

  • Pages from-to

    201-224

  • Number of pages of the book

  • Publisher name

    Publisher of The Karol Adamiecki University of Economics

  • Place of publication

    Katowice

  • UT code for WoS chapter