Z-valued t-norm and t-conorm operators-based aggregation of partially reliable information

Abstract

T-norm and T-conorm operators are successfully used for processing uncertainty in system analysis, decision analysis, control, modeling and forecasting applications. The complexity of real-world applications is that relevant information is partially reliable. In this regard, Prof. L.A. Zadeh suggested the concept of a Z-number as an ordered pair Z(1) + Z(2) of fuzzy numbers used to describe a value of a random variable X, where A is a fuzzy constraint on values of X and B is a fuzzy reliability of A, and is considered as a value of probability measure of R-2. However, processing of Z-number based information is at its initial stage of crystallization. In this paper we consider Z-number valued T-norm and T-conorm operators of Z-numbers. A real-world application is used to illustrate validity and efficiency of Z-number valued T-norm and T-conorm operators based processing of partially reliable information. (C) 2016 The Authors. Published by Elsevier B.V.