Artificial Intelligence and Decision Making
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Artificial Intelligence and Decision Making:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Artificial Intelligence and Decision Making, 2017, Issue 4, Pages 69–77 (Mi iipr267)  
This article is cited in 2 scientific papers (total in 2 papers)

Decision support methods

Ultimate possibilities of the Ðareto set reduction based on quanta of fuzzy information

V. D. Nogin

Saint Petersburg State University
Full-text PDF (440 kB) Citations (2)
Abstract: The problem of multicriteria choice with a fuzzy preference relation is considered, the main objects of which are a set of feasible alternatives, a numerical vector criterion and the fuzzy preference relation of the decision maker (DM). Concepts of a fuzzy vector space, a polyhedral fuzzy set and the distance between convex fuzzy sets and cones are used. To reduce the Pareto set the ultimate possibilities of information about the fuzzy preference relation in the form of quanta of information set are studied. It is proved that in a sufficiently wide class of above problems with a finite set of quanta of fuzzy information, one can arbitrarily accurate approximate an initially unknown fuzzy set of nondominant elements.
Keywords: multicriteria choice problem, reduction of the Pareto set, quanta of fuzzy information, completeness theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-29-05049
16-29-12864
17-07-00899
17-29-03236
English version:
Scientific and Technical Information Processing, 2018, Volume 45, Issue 6, Pages 452–457
DOI: https://doi.org/10.3103/S0147688218060084
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Nogin, “Ultimate possibilities of the Ðareto set reduction based on quanta of fuzzy information”, Artificial Intelligence and Decision Making, 2017, no. 4, 69–77; Scientific and Technical Information Processing, 45:6 (2018), 452–457
Citation in format AMSBIB
\Bibitem{Nog17}
\by V.~D.~Nogin
\paper Ultimate possibilities of the Ðareto set reduction based on quanta of fuzzy information
\jour Artificial Intelligence and Decision Making
\yr 2017
\issue 4
\pages 69--77
\mathnet{http://mi.mathnet.ru/iipr267}
\elib{https://elibrary.ru/item.asp?id=30771445}
\transl
\jour Scientific and Technical Information Processing
\yr 2018
\vol 45
\issue 6
\pages 452--457
\crossref{https://doi.org/10.3103/S0147688218060084}
Linking options:
  • https://www.mathnet.ru/eng/iipr267
  • https://www.mathnet.ru/eng/iipr/y2017/i4/p69
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Artificial Intelligence and Decision Making
    Statistics & downloads:
    Abstract page:23
    Full-text PDF :2
    References:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024