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Modeling Decisions for Project Scheduling Optimization Problem Based on Type-2 Fuzzy Numbers

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Advances in Soft Computing (MICAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11288))

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Abstract

This paper examines type-2 fuzzy numbers implementation to resource-constrained scheduling problem (RCSP) for agriculture production system based on expert parameter estimations. Some critical parameters in production system are usually treated as uncertain variables due to environmental changes that influence agriculture process. Implementation of type-2 fuzzy sets (T2FSs) can handle uncertain data when estimating variables for solving decision-making problems. The paper focuses on estimation procedure of uncertain variables in scheduling that reflect level of preference or attitude of decision-maker towards imprecise concepts, relations between variables. Special profiles for activity performance allow to consider uncertainty in time variables, expert estimations, flexibilities in scheduling, resource levelling problem and combinatorial nature of solution methodology. An example of activities for agriculture production system is introduced. Heuristic decision algorithm based on enumeration tree and partial schedules is developed. It can handle both resource-constrained optimization problem under uncertain variables and activity profile switching. As initial activity profile we consider expert decision about best activity execution profile on each level of enumeration tree.

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Acknowledgments

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 base of dynamic geographic information models” (Project part, State task 2.918.2017).

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Authors and Affiliations

  1. Southern Federal University, Nekrasovskiy Street, 44, 347928, Taganrog, Russia

    Margarita Knyazeva & Alexander Bozhenyuk

  2. Systems Research Institute Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

Authors
  1. Margarita Knyazeva
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  2. Alexander Bozhenyuk
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  3. Janusz Kacprzyk
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Corresponding author

Correspondence to Alexander Bozhenyuk .

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Editors and Affiliations

  1. Instituto Politécnico Nacional, Mexico City, Mexico

    Ildar Batyrshin

  2. Universidad Panamericana, Mexico City, Mexico

    María de Lourdes Martínez-Villaseñor

  3. Faculty of Engineering, Universidad Panamericana, Mexico City, Mexico

    Hiram Eredín Ponce Espinosa

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Knyazeva, M., Bozhenyuk, A., Kacprzyk, J. (2018). Modeling Decisions for Project Scheduling Optimization Problem Based on Type-2 Fuzzy Numbers. In: Batyrshin, I., Martínez-Villaseñor, M., Ponce Espinosa, H. (eds) Advances in Soft Computing. MICAI 2018. Lecture Notes in Computer Science(), vol 11288. Springer, Cham. https://doi.org/10.1007/978-3-030-04491-6_27

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  • DOI: https://doi.org/10.1007/978-3-030-04491-6_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04490-9

  • Online ISBN: 978-3-030-04491-6

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