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Probabilities on Lukasiewicz-Moisil algebras

✍ Scribed by George Georgescu; Ioana Leuştean


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
577 KB
Volume
18
Category
Article
ISSN
0888-613X

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✦ Synopsis


We define a concept of probability on an n-valued Lukasiewicz-Moisil algebra and we present some basic properties. The main result is an extension theorem for continuous probabilities, which is already known for probabilities defined on Boolean algebras and MV-algebras.


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On the construction of three-valued Luka
✍ Afrodita Iorgulescu 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 504 KB

The author constructs a three-valued Lukasiewicz-Moisil algebra from a monadic threevalued Lukasiewicz-Moisil algebra, gneralizing A. Monteiro's (1974) construction of a threevalued Lukasiewicz-Moisil algebra from a monadic Boolean algebra, and constructs a rnonadic three-valued Lukasiewicz-Moisil a