arXiv:2601.10768cs.AImath.OC2026-01

用三值逻辑趋势模型优化复杂产品创新流程

Optimisation of complex product innovation processes based on trend models with three-valued logic

  • 用增、减、恒定三类趋势描述创新过程
  • 构建状态转移图,涵盖所有可能发展路径
  • 适合研究不确定性高的产品创新决策

本文基于一组启发式规则,研究复杂产品创新过程。每个启发式规则以简单趋势(上升、下降或恒定)表达,作为低信息量的量化指标,避免依赖数值或粗糙集。趋势模型的解被定义为一组可能状态及其间的转移路径,以转移图表示。因此,系统未来或过去的所有可能行为均可通过该图中的路径进行刻画。

原文摘要 · Abstract (English)

This paper investigates complex product-innovation processes using models grounded in a set of heuristics. Each heuristic is expressed through simple trends -- increasing, decreasing, or constant -- which serve as minimally information-intensive quantifiers, avoiding reliance on numerical values or rough sets. A solution to a trend model is defined as a set of scenarios with possible transitions between them, represented by a transition graph. Any possible future or past behaviour of the system under study can thus be depicted by a path within this graph.

产品创新趋势建模三值逻辑

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