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A concept of Z-number was introduced by Prof. Zadeh as a formal construct to describe imprecision and partial reliability of real-world information. Computation with Z-numbers inherits an important problem of fuzzy arithmetic – increase of entropy that damages informativeness of results. This becomes especially important for computation with a large number of Z-numbers which takes place in many practical...
As a theoretical basis of computation with imprecise and partially reliable information, arithmetic of Z-numbers should be developed with an emphasis of informativeness. In this paper we propose an approach to develop arithmetic of Z-numbers where a result of computation can be obtained with a predefined informativeness level. The proposed approach is based on the use of horizontal membership functions...
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