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 …

On (G, N)-implications derived from grouping functions

GP Dimuro, B Bedregal, RHN Santiago - Information Sciences, 2014 - Elsevier
Overlap and grouping functions are special kinds of non-necessarily associative
aggregation operators recently proposed for applications in classification problems involving …

Fuzzy implications: past, present, and future

M Baczynski, B Jayaram, S Massanet… - Springer Handbook of …, 2015 - Springer
Fuzzy implications are a generalization of the classical two-valued implication to the multi-
valued setting. They play a very important role both in the theory and applications, as can be …

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 …

Negations with respect to admissible orders in the interval-valued fuzzy set theory

MJ Asiain, H Bustince, R Mesiar… - … on Fuzzy Systems, 2017 - ieeexplore.ieee.org
Admissible orders have brought the structure of chains in the framework of interval-valued
fuzzy sets. However, a deeper study of functions monotone with respect to admissible orders …

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 …

[图书][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 …

Aggregating fuzzy implications

RHS Reiser, B Bedregal, M Baczyński - Information Sciences, 2013 - Elsevier
The aim of this work is to study the IA fuzzy implication obtained by composition of an
aggregation function A and a family I of fuzzy implications. Thus, it discusses under which …

On the T-partial order and properties

E Aşıcı, F Karaçal - Information Sciences, 2014 - Elsevier
For a t-norm T on [0, 1], a partial order⪯ T was recently defined and studied. In this study, for
any fixed c∈(0, 1), we define the set of incomparable elements according to⪯ T and this set …

Measuring and reaching consensus in group decision making with the linguistic computing model based on discrete fuzzy numbers

X Ma, M Zhao, X Zou - Applied Soft Computing, 2019 - Elsevier
The linguistic computing model based on discrete fuzzy numbers has some good properties
compared with other existing models and should be further studied, which has been proved …