Journal
INFORMATION SCIENCES
Volume 181, Issue 14, Pages 2923-2932Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.02.022
Keywords
Reliability; Fuzzy logic; Computing with words; Granular computing; Uncertain computing
Categories
Funding
- ONR [N00014-02-1-0294]
- Omron Corporation
- Tekes Grant
- Azerbaijan Ministry of Communications and Information Technology
- Azerbaijan University of Azerbaijan Republic
- UC Berkeley
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Decisions are based on information. To be useful, information must be reliable. Basically, the concept of a Z-number relates to the issue of reliability of information. A Z-number, Z, has two components, Z = (A,B). The first component, A. is a restriction (constraint) on the values which a real-valued uncertain variable, X, is allowed to take. The second component, B, is a measure of reliability (certainty) of the first component. Typically, A and B are described in a natural language. Example: (about 45 min, very sure). An important issue relates to computation with Z-numbers. Examples: What is the sum of (about 45 min, very sure) and (about 30 min, sure)? What is the square root of (approximately 100, likely)? Computation with Z-numbers falls within the province of Computing with Words (CW or CWW). In this note, the concept of a Z-number is introduced and methods of computation with Z-numbers are outlined. The concept of a Z-number has a potential for many applications, especially in the realms of economics, decision analysis, risk assessment, prediction, anticipation and rule-based characterization of imprecise functions and relations. (C) 2011 Elsevier Inc. All rights reserved.
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