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 …

Z-VIKOR method based on a new comprehensive weighted distance measure of Z-number and its application

K Shen, J Wang - IEEE Transactions on Fuzzy Systems, 2018 - ieeexplore.ieee.org
Reliability of information can directly affect the accuracy of decision-making. Compared with
classical fuzzy sets, Z-number takes into account the uncertainty in information generation …

A new linguistic computational model based on discrete fuzzy numbers for computing with words

S Massanet, JV Riera, J Torrens, E Herrera-Viedma - Information Sciences, 2014 - Elsevier
In recent years, several different linguistic computational models for dealing with linguistic
information in processes of computing with words have been proposed. However, until now …

SMAA-based model for decision aiding using regret theory in discrete Z-number context

Y Yang, J Wang - Applied Soft Computing, 2018 - Elsevier
We study stochastic multi-criteria decision-aiding problems with possibilistic and
probabilistic restriction information in the form of a discrete Z-number, which is regarded as …

Z‐number‐based linear programming

RA Aliev, AV Alizadeh, OH Huseynov… - … Journal of Intelligent …, 2015 - Wiley Online Library
Linear programming (LP) is the operations research technique frequently used in the fields
of science, economics, business, management science, and engineering. Although it is …

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 …

Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information

JV Riera, S Massanet, E Herrera-Viedma… - Applied Soft Computing, 2015 - Elsevier
The management of hesitant fuzzy information is a topic of special interest in fuzzy decision
making. In this paper, we focus on the use and properties of the fuzzy linguistic modelling …

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 …

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 …