Results 111 to 120 of about 13,837 (168)

Fuzzy similarity measures and measurement theory

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement introduced by Tversky, we establish necessary and sufficient conditions for the existence of a particular class of fuzzy similarity measures, agreeing with an ordering relation among pairs of objects which express the idea that two objects are
Coletti, Giulianella   +1 more
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Fuzzy measurement theory

Measurement, 2008
Abstract Exact measurement is a mapping f0 from the structure of physical objects into the structure of real numbers R representing the results of measurement. In the framework of the fuzzy theory of measurement an inexact measurement is represented by a mapping f from a physical objects into a structure of fuzzy intervals.
Michał K. Urbański, Janusz Wa¸sowski
openaire   +1 more source

Dual concepts in fuzzy theory: Entropy and knowledge measure

International Journal of Intelligent Systems, 2019
Surender Singh   +2 more
openaire   +3 more sources

Intuitionistic fuzzy similarity measure: Theory and applications

Journal of Intelligent & Fuzzy Systems, 2015
First we give notion of integral of intuitionistic fuzzy set and introduce intuitionistic fuzzy implicator and intuitionistic fuzzy inclusion measure. Then we propose a new measure of similarity between two intuitionistic fuzzy sets based on intuitionistic fuzzy inclusion measure.
Beg, Ismat, Rashid, Tabasam
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Fuzzy measure based on decomposition theory

Fuzzy Sets and Systems, 2000
The authors define a fuzzy measure \({\mathfrak M}^*\) for fuzzy numbers \(D\) by the formula \({\mathfrak M}^*(D)= \int^1_0(D_r(\alpha)- D_1(\alpha)) d\alpha\), where \(D_r(\alpha)\) and \(D_1(\alpha)\) are, respectively, the upper and lower bound of the \(\alpha\)-cut \(\{x\in \mathbb{R}:D(x)\geq \alpha\}= [D_1(\alpha), D_r(\alpha)]\).
Yao, Jing-Shing, Chang, San-Chyi
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Optimal measurement planning using fuzzy-set theory

SPIE Proceedings, 2003
In precision measurement, it is known that a measurement process involves errors or factors of different kinds and types. Using the prior knowledge on the relationship between the measured variables and the factors, the best measurement plan may be obtainable if a target function on the errors is minimized.
Xintao Xia, Zhongyu Wang, Yongsheng Gao
openaire   +1 more source

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