In search of Schrödinger's patch: a functional approach to habitat delineation. [PDF]
Dennis M +6 more
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A nonlinear Takagi-Sugeno-Kang fuzzy system based on information granules for chemical engineering fault diagnosis. [PDF]
Yin R +5 more
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Deconstructing Biological Sex by Fuzzifying Osteological Sex: Implications for Theoretically Informed Practice. [PDF]
Adams DM, Lane KM.
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Classification of soft decision-making methods via fuzzy parameterized fuzzy soft matrices and their performance-based statistical analysis in machine learning. [PDF]
Karakoç Ö, Memiş S, Sennaroglu B.
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Decision-making on water-nitrogen irrigation for <i>Isatis indigotica</i> in oasis based on the coupling of fuzzy evaluation model and particle swarm optimization algorithm. [PDF]
Wang Z +6 more
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Applications of Fuzzy Set Theory, Fuzzy Measure Theory and Fuzzy Differential Calculus
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Fuzzy similarity measures and measurement theory
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019We 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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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
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Fuzzy measure based on decomposition theory
Fuzzy Sets and Systems, 2000The 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 \(\{x\in \mathbb{R}:D(x)\geq \alpha\}= [D_1(\alpha), D_r(\alpha)]\).
Jing-Shing Yao, San-Chyi Chang
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Intuitionistic fuzzy similarity measure: Theory and applications
Journal of Intelligent & Fuzzy Systems, 2015First 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.
Ismat Beg, Tabasam Rashid
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