Applications of product space algebra of conditional events and one-point random set representations of fuzzy sets to the development of conditional fuzzy sets

DOI10.1016/0165-0114(94)00173-5zbMath0845.60005OpenAlexW1992592122MaRDI QIDQ1914465

Irwin R. Goodman

Publication date: 18 June 1996

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(94)00173-5

zbMATH Keywords

fuzzy setsfuzzy subsetsrandom setsrandom subsetsconditional eventsconditional event algebraone-point coverage probabilitiesproduct space algebra

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Foundations of probability theory (60A99)

Related Items (3)

Applications of product space algebra of conditional events and one-point random set representations of fuzzy sets to the development of conditional fuzzy sets ⋮ A Tacit Assumption Behind Lewis Triviality That Is Not Applicable to Product Space Conditional Event Algebra ⋮ Evaluation of combinations of conditioned information: A history

Cites Work

• Some new results concerning random sets and fuzzy sets
• Evaluation of combinations of conditioned information: A history
• On some logical points of fuzzy conditional decision making
• An algebraic synthesis of the foundations of logic and probability
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Some considerations on fuzzy conditional inference
• Boole's logic and probability. A critical exposition from the standpoint of contemporary algebra, logic and probability theory
• The concept of a linguistic variable and its application to approximate reasoning. III
• A theory of conditional information for probabilistic inference in intelligent systems. II: Product space approach
• Applications of product space algebra of conditional events and one-point random set representations of fuzzy sets to the development of conditional fuzzy sets
• Creative and non-creative definitions in the calculus of probability
• An algebra of conditional events
• REPRESENTATION THEOREMS FOR FUZZY CONCEPTS
• Toward a comprehensive theory of linguistic and probabilistic evidence: two new approaches to conditional event algebra
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