The entailment principle for dempster—shafer granules

✍ Scribed by Ronald R. Yager

• Publisher: John Wiley and Sons
• Year: 1986
• Tongue: English
• Weight: 514 KB
• Volume: 1
• Category: Article
• ISSN: 0884-8173
• DOI: 10.1002/int.4550010403

✦ Synopsis

We discuss the rule of inference called the entailment principle which plays a significant role in the possibilistic type reasoning used in the theory of approximate reasoning. We extend this principle to situations in which the knowledge is a type of combination of possibilistic and probabilistic information which we call Dempster-Shafer granules. We discuss the conjunction of these D-S granules and show that Dempster's rule of combination is a special application of conjunction followed by a particular implementation of the entailment principle.

THE ENTAILMENT PRINCIPLE IN APPROXIMATE REASONING

Assume V is a variable which takes its value in the set X. Let A be a fuzzy subset of X. We note that A can be defined either by extension, that is a listing of *Technical Report