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arXiv cs/0410033cs.AI
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信息融合规则的深入研究与融合理论的统一

An In-Depth Look at Information Fusion Rules & the Unification of Fusion Theories

Florentin Smarandache

摘要:

本文看起来像是融合规则的词汇表,我们还介绍了新的融合规则,并给出了它们的公式和示例:合取、析取、排他析取、混合合取-析取规则、条件规则、Dempster's、Yager's、Smets' TBM规则、Dubois-Prade's、Dezert-Smarandache经典和混合规则、Murphy's平均规则、Inagaki-Lefevre-Colot-Vannoorenberghe统一组合规则[以及,作为特例:Iganaki的参数化规则,加权平均算子,minC(M. Daniel),以及新的比例冲突重分配规则(Smarandache-Dezert),其中PCR 5是按照合取规则的路径将冲突质量重分配到非空集的最精确方式],Zhang的中心组合规则,卷积x平均,一致性算子(Josang),谨慎规则(Smets),?- Junctions规则(Smets)等,以及三种新的T-范数和T-连通规则(Tchamova-Smarandache)。引入集合基数的并度和包含度,除了交集的并度和包含度外,还可以改进许多融合规则。在一些极端情况下,每个规则都可能难以工作,或者可能无法获得预期的结果。

英文摘要:

This paper may look like a glossary of the fusion rules and we also introduce new ones presenting their formulas and examples: Conjunctive, Disjunctive, Exclusive Disjunctive, Mixed Conjunctive-Disjunctive rules, Conditional rule, Dempster's, Yager's, Smets' TBM rule, Dubois-Prade's, Dezert-Smarandache classical and hybrid rules, Murphy's average rule, Inagaki-Lefevre-Colot-Vannoorenberghe Unified Combination rules [and, as particular cases: Iganaki's parameterized rule, Weighting Average Operator, minC (M. Daniel), and newly Proportional Conflict Redistribution rules (Smarandache-Dezert) among which PCR5 is the most exact way of redistribution of the conflicting mass to non-empty sets following the path of the conjunctive rule], Zhang's Center Combination rule, Convolutive x-Averaging, Consensus Operator (Josang), Cautious Rule (Smets), ?-junctions rules (Smets), etc. and three new T-norm & T-conorm rules adjusted from fuzzy and neutrosophic sets to information fusion (Tchamova-Smarandache). Introducing the degree of union and degree of inclusion with respect to the cardinal of sets not with the fuzzy set point of view, besides that of intersection, many fusion rules can be improved. There are corner cases where each rule might have difficulties working or may not get an expected result.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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