Results 11 to 20 of about 5,479,766 (279)

A Decade of the Z-Numbers

open access: yesIEEE Transactions on Fuzzy Systems, 2022
This article presents a study on the development in the theory and application of the Z-numbers, since its inception in 2011. The review covers: a) formalization of Z-number based mathematical operators, b) role of Z-numbers in Computing With Words, decision-making and trust modeling, c) application of Znumbers in real-world problems like multisensor ...
Romi Banerjee   +2 more
openaire   +3 more sources

The Operational Laws of Symmetric Triangular Z-Numbers

open access: yesMathematics
To model fuzzy numbers with the confidence degree and better account for information uncertainty, Zadeh came up with the notion of Z-numbers, which can effectively combine the objective information of things with subjective human interpretation of ...
Hui Li   +5 more
doaj   +2 more sources

Powers of the operator u(z)d/dz and their connection with some combinatorial numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper the operator A = u(z)d/dz is considered, where u is an entire or meromorphic function in the complex plane. The expansion of Aᵏ (k≥1) with the help of the powers of the differential operator D=d/dz is obtained, and it is shown that this ...
Ioana Petkova
doaj   +3 more sources

On the Z-Numbers

open access: yes, 2020
In this chapter, first the Z-number is introduced then calculating operations are defined. Moreover several ranking methods are investigated to order the Z-numbers for using in other appropriate models. To points out one of the application, a regression method based on neural network technique is described in detail.
Tofigh Allahviranloo, Somayeh Ezadi
openaire   +2 more sources

On Generalized Schur Numbers of the Equation x+ay=z

open access: yesJournal of Mathematics, 2020
Let a and r be positive integers. By definition, sar is the least positive integer such that, for any r-coloring of the interval 1,sar, there exists a monochromatic solution to x+ay=z. For a=1, the numbers sr=s1r are classical Schur numbers.
Amir Khamseh
doaj   +2 more sources

Interactive TOPSIS Based Group Decision Making Methodology Using Z-Numbers [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2016
The ability in providing result that is consistent with actual ranking remains the major concern in group decision making environment. The main aim of this paper is to introduce a novel modification of TOPSIS method to facilitate multi criteria decision ...
Abdul Malek Yaakob, Alexander Gegov
doaj   +2 more sources

SERVER SELECTION ON BASE OF Z-NUMBERS [PDF]

open access: yes, 2021
The paper is devoted to the problem of multi criteria decision making under linguistic uncertainty. Information of different approaches for modeling linguistic uncertainty have been analyzed. The concept of z-numbers proposed by L.
Salimov Vagif Hasan Oglu   +1 more
core   +2 more sources

Ranking Z-numbers Using the Optimal Clustering Method (CZ-number) [PDF]

open access: yesمهندسی مخابرات جنوب
In recent years, modeling uncertainties through natural language has attracted growing attention, with Z-numbers, introduced by Zadeh in 2011, being a key concept.
Saeed Jafari   +3 more
doaj   +1 more source

Ordered discrete and continuous Z-numbers [PDF]

open access: yes, 2020
Both discrete and continuous Z-numbers are pairs of discrete and continuous fuzzy numbers. Even though the later are ordered, this do not simply imply the discrete and continuous Z-numbers are ordered as well.
Ahmad, Tahir   +2 more
core   +1 more source

Lower bounds for Z-numbers [PDF]

open access: yesMathematics of Computation, 2009
Let p / q p/q
Arturas Dubickas, Michael J. Mossinghoff
openaire   +3 more sources

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