基于集对信息粒空间的三支决策模型及应用

doi:10.11959/j.issn.1000-436x.2016242

Abstract

Abstract:

Through the analysis of the existing theory and method of three-way decision,model of three-way decision based on the space of set pair information granule was proposed,which was to explain the intension and extension of three-way decision on the view of unity of opposites.Firstly the space structure of set pair information granule can be di-vided into positive granule,negative granule,different granule,which were similar and slightly different with three re-gions of generalized three-way decision.The three kinds of information granules in set pair information granule space were built based on certain positive degree,negative degree and different degree.Secondly,according to the given threshold,set pair information granule is divided into mutually disjointing positive region,negative region and different region.Based on these three regions,the computing method of decision loss function is put forward,and the process of decision-making algorithm is obtained use the three-way decision method of set pair information granule space to evalu-ate and make decision on risk investment,then good decision results have been achieved.

Key words: set pair granule space, generalized three-way decision, narrow three-way decision,, set pair association

Chun-ying ZHANG,Li-ya WANG,Ming-xia LI,Bao-xiang LIU. Model of three-way decision based on the space of set pair information granule and its application[J]. Journal on Communications, 2016, 37(Z1): 15-24.

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References 16

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		实体的客观状态
决策动作
决策动作
	属于		不属于
接受决策	λ_PP		λ_PN
延迟决策	λ_BP		λ_BN
拒绝决策	λ_NP		λ_NN

				u₁₁						u₁₂						u₁₃						u₁₄
指标
指标
	e₁	e₂	e₃	e₄	e₁	v₁₁	e₁	e₂	e₃	e₄	e₁	v₁₂	e₁	e₂	e₃	e₄	e₁	v₁₃	e₁	e₂	e₃	e₄	e₅	e₁₄
p₁	1	0	1	?	1	1	0	?	0	?	1	0	0	1	?	1	1	1	1	?	?	1	1	1
p₂	1	1	0	1	0	0	?	1	1	1	0	1	1	?	1	0	1	1	?	?	1	0	1	1
p₃	0	1	?	0	1	0	1	0	?	1	1	1	0	1	0	?	0	0	1	?	0	?	0	0
p₄	?	0	0	?	1	0	1	0	0	?	0	0	1	1	?	1	?	1	?	?	?	1	?	1
p₅	1	?	1	1	1	1	1	1	0	1	1	1	0	0	?	0	0	0	1	1	?	0	0	1
p₆	?	1	1	0	1	1	1	1	?	0	1	1	1	0	1	?	1	1	?	1	1	?	1	1
p₇	0	1	1	1	1	1	1	0	1	?	1	1	0	1	0	?	0	0	1	?	1	?	1	1
p₈	1	0	?	?	0	0	0	0	?	0	1	0	1	1	1	?	1	1	?	?	1	?	1	1
p	1	1	1	?	0	?	0	0	?	0	?	?	?	1	0	1	?	?	?	?	0	1	?	？

p_n	u₁₁下的集对关联度	u₁₂下的集对关联度	u₁₃下的集对关联度	u₁₄下的集对关联度
p₁	0.6+0i+0.4j	0.2+0.6i+0.2j	0.4+0.6i+0j	0.4+0.6i+0j
p₂	0.6+0.2i+0.2j	0+0.6i+0.4j	0+0.6i+0.4j	0.4+0.2i+0.4j
p₃	0.2+0.4i+0.4j	0.4+0.2i+0.4j	0.4+0.6i+0j	0.4+0.6i+0j
p₄	0.2+0.4i+0.4j	0.2+0.6i+0.2j	0.6+0.4i+0j	0.8+0.2i+0j
p₅	0.4+0.4i+0.2j	0+0.4i+0.6j	0+0.6i+0.4j	0+0.8i+0.2j
p₆	0.4+0.4i+0.2j	0.4+0.2i+0.4j	0+0.6i+0.4j	0.2+0.6i+0.2j
p₇	0.4+0.2i+0.4j	0.2+0.6i+0.2j	0.4+0.6i+0j	0.2+0.6i+0.2j
p₈	0.4+0.2i+0.4j	0.8+0.2i+0j	0.2+0.6i+0.2j	0.4+0.4i+0.2j

	实体的客观状态
决策动作
决策动作
	属于X	不属于X
接受决策	0	17
延迟决策	9	2
拒绝决策	15	0

			U₁
指标
指标
	u₁₁	u₁₂	u₁₃	u₁₄	v₁
p₁	1	0	1	1	1
p₂	0	1	1	1	1
p₃	0	1	0	0	0
p₄	0	0	1	1	1
p₅	1	1	0	1	1
p₆	1	1	1	1	1
p₇	1	1	0	1	1
p₈	0	0	1	1	1
p	—	0	1	1	?

Model of three-way decision based on the space of set pair information granule and its application

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