直覺(jué)模糊條件推理與可信度傳播
Intuitionistic Fuzzy Conditional Reasoning with the Confidence Spreading
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摘要: 針對(duì)直覺(jué)模糊邏輯及命題演算，基于直覺(jué)指數(shù)所表征的中立證據(jù)中支持與反對(duì)的程度呈均衡狀態(tài)的假設(shè)，提出利用隸屬度與猶豫度計(jì)算直覺(jué)模糊邏輯命題真值的對(duì)稱合成方法，給出直覺(jué)模糊邏輯命題的運(yùn)算規(guī)則。重點(diǎn)研究了基于直覺(jué)模糊邏輯的條件推理方法，包括直覺(jué)模糊蘊(yùn)涵式推理、條件式推理、多重式推理、多維式推理及多重多維式推理等；推導(dǎo)了相關(guān)的推理合成運(yùn)算公式。針對(duì)帶有可信度因子的直覺(jué)模糊邏輯推理，包括典型的、加權(quán)的及狹義的直覺(jué)模糊推理；分析了規(guī)則中的可信度因子傳播對(duì)結(jié)論可信度的影響；給出了相關(guān)的計(jì)算結(jié)論真值的公式。Abstract: To the predicate calculus on Intuitionistic Fuzzy Logic (IFL), a symmetric synthetic method for finding the truth of IFL propositions using membership and hesitancy degree is proposed on the basis of the hypothesis of an equilibrium state of supportability and opposability of neutral evidences indicated in the intuitionistic index. The fundamental operation rules on IFL propositions are presented. The investigation is with an emphasis on the techniques for conditional reasoning on IFL, including the implications, the conditions, the multiplications, and the multi-dimensions on IFL, etc. The related sets of mathematical formulas of inference compositional operations are derived. To the IFL reasoning with confidence factors, including those of the typical, the weighted, and the narrow senses, the effects of confidence factors spreading abroad in rules on those of conclusions are analyzed. The related formulas for finding the true conclusions are exposed.
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