The arithmetic of discrete Z-numbers

RA Aliev, AV Alizadeh, OH Huseynov - Information Sciences, 2015 - Elsevier
Real-world information is imperfect and is usually described in natural language (NL).
Moreover, this information is often partially reliable and a degree of reliability is also …

Multi-criteria PROMETHEE method based on possibility degree with Z-numbers under uncertain linguistic environment

D Qiao, K Shen, J Wang, T Wang - Journal of Ambient Intelligence and …, 2020 - Springer
People make decisions based on their cognitive information about the objective world.
Zadeh's Z-number allows people to better express their cognition of the real world by …

Ranking of Z-numbers and its application in decision making

RA Aliev, OH Huseynov… - International Journal of …, 2016 - World Scientific
Real-world decision problems in decision analysis, system analysis, economics, ecology,
and other fields are characterized by fuzziness and partial reliability of relevant information …

Functions defined on a set of Z-numbers

RA Aliev, W Pedrycz, OH Huseynov - Information Sciences, 2018 - Elsevier
A wide class of problems in science and engineering requires mathematical formalization.
One of the important aspects in this regard is that we should account for various types of …

Hukuhara difference of Z-numbers

RA Aliev, W Pedrycz, OH Huseynov - Information Sciences, 2018 - Elsevier
Real-world problems in decision analysis, economics, optimization and other fields are
characterized by fuzzy and partially reliable information. In this regard, Prof. Zadeh …

The general theory of decisions

RA Aliev, W Pedrycz, V Kreinovich, OH Huseynov - Information Sciences, 2016 - Elsevier
The majority of the existing decision theories, starting from von Neumann and Morgenstern
Expected Utility theory, are based on sound mathematical background and yielded good …

[КНИГА][B] Uncertain computation-based decision theory

RA Aliev - 2017 - books.google.com
Uncertain computation is a system of computation and reasoning in which the objects of
computation are not values of variables but restrictions on values of variables. This …

The fusion of discrete Z-numbers with application for fault diagnosis

Y Cao, JB Yang, X Deng… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
A Z-number, which is a generalization of probability and fuzzy numbers, is a novel model to
represent uncertainty in the real world. This article aims to develop discrete Z-numbers in …

Expected Utility Based Decision Making under Z‐Information and Its Application

RR Aliev, DAT Mraiziq… - Computational …, 2015 - Wiley Online Library
Real‐world decision relevant information is often partially reliable. The reasons are partial
reliability of the source of information, misperceptions, psychological biases, incompetence …

Cross Entropy for Discrete Z-numbers and Its Application in Multi-Criteria Decision-Making

D Qiao, X Wang, J Wang, K Chen - International Journal of Fuzzy Systems, 2019 - Springer
Decisions are based on information, and the reliability of information affects the quality of
decision-making. Z-number, produced by Zadeh, considers the fuzzy restriction and the …