Algebraic structures related to Dempster-Shafer theory | Zendy

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Algebraic structures related to Dempster-Shafer theory

Author(s) -

Milan Daniel

Publication year - 1995

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-60116-3

DOI - 10.1007/bfb0035936

Subject(s) - endomorphism , algebra over a field , automorphism , semigroup , algebraic structure , characterization (materials science) , parametric statistics , algebraic number , computer science , dempster–shafer theory , frame (networking) , mathematics , discrete mathematics , pure mathematics , artificial intelligence , mathematical analysis , telecommunications , statistics , materials science , nanotechnology

There are described some algebraic structures on a space of belief functions on a two-element frame, namely so called Dempster's semigroup (with Dempster's operation ), dempsteroids, and their basic properties. The present paper is devoted to the investigation of automorphisms of Dempster's semigroup. Full characterization of general and ordered automorphisms is obtained, their parametric description is stated both in intuitive and explicit forms. There is also full characterization of ordered endomorphisms, and other related results.

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