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RETRACTED: Approximation of fuzzy complex numbers by the form x ˜ + i y ˜

Journal of Intelligent & Fuzzy Systems, 2022
It plays an important role in the calculation of fuzzy numbers using some special fuzzy numbers to approximate general fuzzy numbers in fuzzy analysis, similar to fuzzy complex analysis.
Z. Gong, Zhiyong Xiao
semanticscholar   +1 more source

Fuzzy Number Approximation

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998
As the number of parameters involved in an economic model is often uncertain, we propose that it be estimated using fuzzy numbers. Since we move in an environment of uncertainty, it is logical to leave room for deviation in estimating membership functions.
Mariano Jiménez 0001   +1 more
openaire   +2 more sources

Trapezoidal approximations of fuzzy numbers

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Przemyslaw Grzegorzewski, Edyta Mrówka
openaire   +2 more sources

Approximations of fuzzy numbers by step type fuzzy numbers

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guixiang Wang, Jing Li
openaire   +1 more source

Trapezoidal approximation-preserving the fuzziness of a fuzzy number

2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012
Fuzziness is an important index to capture the relevant information about the fuzzy number's ill-defined magnitude. In this paper, we propose a new trapezoidal approximation of an arbitrary fuzzy number, which preserves its fuzziness. Some properties of translation invariance, scale invariance, preservation of expected value, width and fuzziness of ...
Zhongxing Wang 0001   +2 more
openaire   +1 more source

Trapezoidal approximations of fuzzy numbers—revisited

Fuzzy Sets and Systems, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Przemyslaw Grzegorzewski, Edyta Mrówka
openaire   +1 more source

Approximations of Fuzzy Numbers by 2-2-step Type Fuzzy Numbers

2021 2nd International Conference on Artificial Intelligence and Information Systems, 2021
In this paper, an approximation method is given using step type fuzzy number to approximate a general fuzzy number. Say concretely, for any given general fuzzy number, a group of calculation formulas are obtained for the coordinates of the left end point of the left step and the right end point of the right step of the 2-2-step type fuzzy number that ...
Yipei Zhang, Guixiang Wang
openaire   +1 more source

Weighted statistical convergence through difference operator of sequences of fuzzy numbers with application to fuzzy approximation theorems

International Journal of General Systems, 2019
The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers ...
S. A. Mohiuddine, A. Asiri, B. Hazarika
semanticscholar   +1 more source

Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2017
The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Shuyang Li   +2 more
openaire   +1 more source

Approximation of Parabolic Fuzzy Numbers

2017
Most of the real world problems are complex that is raised from uncertainity in the form of ambiguity. To overcome the ambiguity and impreciseness, Zadeh [20] introduced fuzzy set theory in the year 1965. The underlying power of fuzzy sets is that linguistic variables can be used rather than quantitative variables to represent imprecise concepts which ...
M. Jagadeeswari   +1 more
openaire   +1 more source

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