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

Margarita Knyazeva; Alexander Bozhenyuk; Uzay Kaymak

doi:10.2991/eusflat-19.2019.80

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

Margarita Knyazeva
, Alexander Bozhenyuk
, Uzay Kaymak

Departmental Office IE&IS

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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 language	English
Title of host publication	Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
Editors	Vilem Novak, Vladimir Marik, Martin Stepnicka, Mirko Navara, Petr Hurtik
Publisher	Atlantis Press
Pages	580-587
Number of pages	8
ISBN (Electronic)	9789462527706
DOIs	https://doi.org/10.2991/eusflat-19.2019.80
Publication status	Published - 2019
Event	11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 - Prague, Czech Republic Duration: 9 Sept 2019 → 13 Sept 2019

Publication series

Name	Atlantis Studies in Uncertainty Modelling
Volume	1
ISSN (Print)	2589-6644

Conference

Conference	11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019
Country/Territory	Czech Republic
City	Prague
Period	9/09/19 → 13/09/19

Funding

This work has been supported by the Ministry of Education and Science of the Russian Federation under Project ”Methods and means of decision making on basis of dynamic geographic information models” (Project part, State task 2.918.2017).

Keywords

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

Access to Document

10.2991/eusflat-19.2019.80

Cite this

Knyazeva, M., Bozhenyuk, A., & Kaymak, U. (2019). Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures. In V. Novak, V. Marik, M. Stepnicka, M. Navara, & P. Hurtik (Eds.), Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019 (pp. 580-587). (Atlantis Studies in Uncertainty Modelling; Vol. 1). Atlantis Press. https://doi.org/10.2991/eusflat-19.2019.80

Knyazeva, Margarita ; Bozhenyuk, Alexander ; Kaymak, Uzay. / Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures. Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. editor / Vilem Novak ; Vladimir Marik ; Martin Stepnicka ; Mirko Navara ; Petr Hurtik. Atlantis Press, 2019. pp. 580-587 (Atlantis Studies in Uncertainty Modelling).

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title = "Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures",

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.",

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year = "2019",

doi = "10.2991/eusflat-19.2019.80",

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booktitle = "Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019",

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Knyazeva, M, Bozhenyuk, A & Kaymak, U 2019, Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures. in V Novak, V Marik, M Stepnicka, M Navara & P Hurtik (eds), Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. Atlantis Studies in Uncertainty Modelling, vol. 1, Atlantis Press, pp. 580-587, 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019, Prague, Czech Republic, 9/09/19. https://doi.org/10.2991/eusflat-19.2019.80

Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures. / Knyazeva, Margarita; Bozhenyuk, Alexander; Kaymak, Uzay.
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. ed. / Vilem Novak; Vladimir Marik; Martin Stepnicka; Mirko Navara; Petr Hurtik. Atlantis Press, 2019. p. 580-587 (Atlantis Studies in Uncertainty Modelling; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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KW - Temporal uncertainty

KW - Decision-making

KW - Z-numbers

KW - Scheduling

KW - Geometrical interpretation

KW - Topology

KW - Modes

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Knyazeva M, Bozhenyuk A, Kaymak U. Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures. In Novak V, Marik V, Stepnicka M, Navara M, Hurtik P, editors, Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019. Atlantis Press. 2019. p. 580-587. (Atlantis Studies in Uncertainty Modelling). doi: 10.2991/eusflat-19.2019.80

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

Abstract

Publication series

Conference

Funding

Keywords

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