Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures

Margarita Knyazeva, Alexander Bozhenyuk, Uzay Kaymak

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1 Citation (Scopus)

Abstract

In this paper we introduce an NP-hard optimization problem and examine preferences of decision-maker towards imprecise alternatives (modes) in a fuzzy temporal graph structure model. Fuzzy Z-number preference matrix is introduced and types of generalized precedence relations in fuzzy multi-mode resource-constrained project scheduling problem (F-MRCPSP) based on expert estimation are discussed. Implementation of Z-numbers allows handling uncertain data and modelling preferences of expert towards uncertain variables. Multi-mode way for activity performance allows considering temporal uncertainty, expert estimations, flexibility in switching from mode to mode and resource levelling profile problem. Geometrical interpretation for fuzzy multi-mode problem (F-MRCPSP) based on box packing is given.

Original languageEnglish
Title of host publicationProceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
EditorsVilem Novak, Vladimir Marik, Martin Stepnicka, Mirko Navara, Petr Hurtik
PublisherAtlantis Press
Pages580-587
Number of pages8
ISBN (Electronic)9789462527706
DOIs
Publication statusPublished - 2019
Event11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 - Prague, Czech Republic
Duration: 9 Sep 201913 Sep 2019

Publication series

NameAtlantis Studies in Uncertainty Modelling
Volume1
ISSN (Print)2589-6644

Conference

Conference11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
CountryCzech Republic
CityPrague
Period9/09/1913/09/19

Keywords

  • Fuzzy graph
  • Temporal uncertainty
  • Decision-making
  • Z-numbers
  • Scheduling
  • Geometrical interpretation
  • Topology
  • Modes
  • Preference matrix

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