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

DOI

10.2991/eusflat-19.2019.80How to use a DOI?

Keywords

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

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 multimode 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, exibility in switching from mode to mode and resource levelling prole problem. Geometrical interpretation for fuzzy multi-mode problem (F-MRCPSP) based on box packing is given.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Margarita Knyazeva
AU  - Alexander Bozhenyuk
AU  - Uzay Kaymak
PY  - 2019/08
DA  - 2019/08
TI  - Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 580
EP  - 587
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.80
DO  - 10.2991/eusflat-19.2019.80
ID  - Knyazeva2019/08
ER  -