Aglianò–Montagna type decomposition of linear pseudo hoops and its applications

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• 作者：Anatolij Dvureč ; enskij
• 关键词：Updating ambiguous beliefs ; Full Bayesian Updating ; Choquet Expected Utility
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2007
• 出版时间：December 2007
• 年：2007
• 卷：211
• 期：3
• 页码：851-861
• 全文大小：275 K

文摘

We decompose every linear pseudo hoop as an Aglianò–Montagna type of ordinal sum of linear Wajsberg pseudo hoops which are either negative cones of linear black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4NN6TRY-6&_mathId=mml1&_user=10&_cdi=5649&_rdoc=18&_acct=C000050221&_version=1&_userid=10&md5=e3797980908f4e24f7421997d9a2db2c"" title=""Click to view the MathML source"">ℓ-groups or intervals in linear unital black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4NN6TRY-6&_mathId=mml2&_user=10&_cdi=5649&_rdoc=18&_acct=C000050221&_version=1&_userid=10&md5=7622bb47f025f41fb925198cfdead067"" title=""Click to view the MathML source"">ℓ-groups with strong unit. We apply the decomposition to present a new proof that every linear pseudo BL-algebra and consequently every representable pseudo BL-algebra is good. Moreover, we show that every maximal filter and every value of a linear pseudo hoop is normal, and every black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0K-4NN6TRY-6&_mathId=mml3&_user=10&_cdi=5649&_rdoc=18&_acct=C000050221&_version=1&_userid=10&md5=d3375916533722ed67833b6b2fb65469"" title=""Click to view the MathML source"">σ-complete linear pseudo hoop is commutative.