Probabilities on Lukasiewicz-Moisil algebras
نویسندگان
چکیده
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. © 1998 Elsevier Science Inc. All rights reserved.
منابع مشابه
n×m−valued Lukasiewicz-Moisil algebras with two modal operators
In 2000, Figallo and Sanza introduced the n×m−valued Lukasiewicz-Moisil algebras, which are a particular case of Matrix Lukasiewicz algebras, and a nontrivial generalization of n−valued Lukasiewicz-Moisil algebras. Here we start a research on the class of n × m−valued Lukasiewicz-Moisil algebras endowed with two modal operators (or 2mLMn×m−algebras). These algebras constitute a common generaliz...
متن کاملMutually Exclusive Nuances of Truth in Moisil Logic
Moisil logic, having as algebraic counterpart Lukasiewicz-Moisil algebras, provides an alternative way to reason about vague information based on the following principle: a many-valued event is characterized by a family of Boolean events. However, using the original definition of Lukasiewicz-Moisil algebra, the principle does not apply for subalgebras. In this paper we identify an alternative a...
متن کاملConnections between M V N Algebras and N-valued Lukasiewicz-moisil Algebras -iv 1 ;2
We introduce two chains of unary operations in the MVn algebra of Revaz Grigolia; they will be used in establishing many connections between these algebras and n-valued Lukasiewicz-Moisil algebras (LMn algebras for short). The study has four parts. It is by and large self-contained. The main result of the rst part is that MV4 algebras coincide with LM4 algebras. The larger class of \relaxed"-MV...
متن کاملÃlukasiewicz - Moisil Many - Valued Logic Algebra of Highly - Complex Systems
The fundamentals of à Lukasiewicz-Moisil logic algebras and their applications to complex genetic network dynamics and highly complex systems are presented in the context of a categorical ontology theory of levels, Medical Bioinformatics and self-organizing, highly complex systems. Quantum Automata were defined in refs.[2] and [3] as generalized, probabilistic automata with quantum state spaces...
متن کاملMutually exclusive nuances of truth
Nuances of truth represent a robust paradigm in the framework of many-valued logics [1]. The idea of nuancing states that a many-valued object is uniquely determined by some Boolean objects, its nuances, and it is called the determination principle. However, a many-valued object cannot be recovered only from its Boolean nuances. This idea goes back to Gr. C. Moisil [4] and it is mathematically ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Approx. Reasoning
دوره 18 شماره
صفحات -
تاریخ انتشار 1998