Fuzzy, Neutrosophic, and Plithogenic Approaches to Project Scheduling, Multischeduling, and Iterative Multischeduling
Keywords:
Multi-Structure, Iterative Multi-Structure, Fuzzy project scheduling, Neutrosophic project scheduling, Plithogenic project schedulingAbstract
This paper develops a unified framework for project scheduling under uncertainty using Iterative MultiStructures. We introduce Fuzzy, Neutrosophic, and Plithogenic Project Iterative MultiScheduling, in which schedules are composed across hierarchical levels as finite multisets and evaluated after canonical flattening and selection. Using componentwise extensions of the sum and max operators, we propagate uncertain activity times and derive fuzzy expectations and credibility constraints, together with their neutrosophic and plithogenic counterparts. We prove that the schedule space forms an Iterative MultiStructure and that the proposed models strictly generalize classical fuzzy, neutrosophic, and plithogenic project scheduling, as well as their non-iterative multischeduling variants. The framework supports precedence networks and multi-criteria costs and admits exact reductions under natural embeddings.
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Copyright (c) 2026 Muhammad Gulistan, Takaaki Fujita (Author)
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