PrincipleofUniversalLogics

图书标准信息

• 作者 Huacan He 著
• 出版社 科学出版社
• 出版时间 2006-09
• 版次 1
• ISBN 9787030177629
• 定价 60.00元
• 装帧 精装
• 开本 16开
• 纸张 其他
• 页数 341页
• 正文语种 英语

【内容简介】

《principleofuniversallogics》是由科学出版社出版的。complexityisthesciencethemeforthe21stcenturytherigidjudgmentsliketrueorfalsearenotproperforthecomplexobjectstheflexibilityofrigidmathematicallogicisdemandeduniversallogicsstudiestheflexibilityprinciplesoflogicspropositionaluniversallogicsisalogicspectra（cluster）itcontaincountlesspropositionallogics

【目录】

chapter1researchcompendiumofuniversallogics
1.1whyshoulduniversallogicsbestudied
1.2aimofuniversallogics
1.3maincontentsofuniversallogics
1.4classificationofuniversallogics
1.5maintasksandcontentsinthebook

chapter2limitationsoffuzzylogic
2.1introduction
2.2classicalpropositionallogicsystem
2.3analysisoffuzzypropositionallogic
2.4conclusion

chapter3explorationofcompensatinglimitations
3.1rationalityofzadehoperatorsgroup
3.2practicalcompensationforthelimitations
3.3generalizedfuzzyand/oroperatorspair
3.4researchoffuzzyoperatorsbasedontriangularnorm
3.5conclusion

chapter4relationalflexibilityinfuzzylogic
4.1introduction
4.2influenceofrelationalflexibilityonfuzzylogicoperationmodels
4.3relationalflexibilityinrealworld
4.4relationalflexibilityandfuzzymeasuretheory
4.5conclusion

chapter5generationrulesofuniversallogicsoperationmodels
5.1introduction
5.2generationbaseofuniversallogicsoperationmodels
5.3generatorintegrityclustersofuniversallogicsoperationmodels
5.4operationmodelsofpartial-orderedandpseudopartial-ordereduniversallogics
5.5operationmodelsofhyper-ordereduniversallogics

chapter6n-normandn-generatorintegrityclusters
6.1definitionsofn-norm
6.2mainpropertiesofn-norm
6.3generationmethodofn-norm
6.4definitionsofn-generatorintegritycluster
6.5generalizedself-closenessofoperationsinn-integritycluster
6.6conclusion

chapter7universalnotpropositionalconnectiveandthresholdquantifier
7.1thresholdquantifieranditsbasicproperties
7.2errorsynthesislawofn-norm
7.3universalnotpropositionalconnectiveanditslogicformulas
7.4conclusion

chapter8generalprinciplesoft-normands-norm
8.1definitionsoft-normands-norm
8.2mainpropertiesoft-normands-norm
8.3generationmethodsoft-normands-norm
8.4weakdualrelationsinn/t/s-norms

chapter9t/s-normsandt/s-generatorintegrityclusters
9.10-levelt/s-generatorintegrityclusters
9.2determinationofgeneralizedcorrelationcoefficienth
9.3compatibleconditionandcompatibleoperatorscluster
9.4clustersof0-levelt-normands-norm
9.5integrityhyper-clustersof1-levelt-normands-norm
9.6generalizedself-closenessofn-operationsin1-levelt/s-integrityhyper-clusters
9.7conclusion

chapter10binaryuniversalpropositionalconnectives
10.1universalandpropositionalconnective
10.2universalorpropositionalconnective
10.3universalimplicationpropositionalconnectiveanduniversalserialreasoning
10.4universalequivalencepropositionalconnective
10.5definitionandpropertiesofuniversalaveragepropositionalconnective
10.6definitionandpropertiesofuniversalcombinationpropositionalconnective

chapter11propositionaluniversallogicssystem
11.1basicconceptsofpropositionaluniversallogics
11.2generationrulesofuniversalpropositionalconnectiveoperationmodels
11.3operationmodelsofuniversallogicspropositionalconnectives
11.4commonformulasinpropositionaluniversallogics
11.5deductivereasoningrulesofpropositionaluniversallogics

chapter12applicationandimplementationofpropositionaluniversallogics
12.1generationoftwo-valuedbasepropositionallogic
12.2researchonthree-valuedbasepropositionallogic
12.3analysisofdegreelogic
12.4researchoncontinuousbasepropositionallogic
12.5physicalimplementationofuniversallogicsoperationsappendix

a.n-generatorintegrityhyper-cluster
a.1n-generatorsofdifferentn-norms
a.2n-generatorsanderrordistributionfunctions
a.3conclusion

b.strictmonotonedistributionofoperatorsinintegritycluster
b.1operators'distributionin0-leveluniversalandintegritycluster
b.2operators'distributionin0-leveluniversalorintegritycluster
b.3operators'distributionin0-leveluniversalimplicationintegritycluster
b.4operators'distributionin0-leveluniversalequivalenceintegritycluster
b.5operators'distributionin0-leveluniversalaverageintegritycluster
b.6operators'distributionin0-leveluniversalcombinationintegritycluster

c.limitedrationalityofi-universalimplicationands-universalimplication
c.1i-universalimplicationoperationii（x，y，h）
c.2i-universalserialreasoningoperationri（x，y，h）
c.3s-universalimplicationoperationis（x，y，h）
c.4s-universalserialreasoningoperationrs（x，y，h）
d.congenericmodelsofuniversalequivalencepropositionalconnective
e.universalweakcombinationpropositionalconnective
references