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Arithmetic of Fuzzy Quantities Based on Vague Arithmetic Operations

2003
As a generalization of the standard fuzzy arithmetic operations, the present paper introduces the arithmetic operations among fuzzy quantities whenever the arithmetic operations are vaguely defined functions, or more precisely they are vague arithmetic operations.
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Group decision making based on entropy measure of Pythagorean fuzzy sets and Pythagorean fuzzy weighted arithmetic mean aggregation operator of Pythagorean fuzzy numbers

Information Sciences, 2023
Shyi-Ming Chen
exaly

New Tools in Fuzzy Arithmetic with Fuzzy Numbers

2010
We present new tools for fuzzy arithmetic with fuzzy numbers, based on the parametric representation of fuzzy numbers and new fuzzy operations, the generalized difference and the generalized division of fuzzy numbers. The new operations are described in terms of the parametric LR and LU representations of fuzzy numbers and the corresponding algorithms ...
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A concrete reformulation of fuzzy arithmetic

Expert Systems With Applications, 2021
Shing-Chung Ngan
exaly

Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets

Expert Systems With Applications, 2010
Shyi-Ming Chen
exaly

Fuzzy Arithmetic

2013
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Fuzzy risk analysis based on similarity measures between interval-valued fuzzy numbers and interval-valued fuzzy number arithmetic operators

Expert Systems With Applications, 2009
Shyi-Ming Chen
exaly

Fuzzy Arithmetic

2005
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Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises

Expert Systems With Applications, 2009
Ying-Ming Wang
exaly