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Nanda [6] introduced the concepts of fuzzy field and fuzzy linear space and gave some results.
Biswas [7] pointed out that Proposition 4.1 of [6] was incorrect and redefined fuzzy field and fuzzy linear space.
As a result, we need some extensions of mathematical models (e.g., in this contribution, we investigate fractional differential equation) to fuzzy field such that these extensions have natural relationship between crisp and fuzzy cases and even have a natural relation between fuzzy fractional and fuzzy non-fractional cases.
The caucuses are about the person who does well enough to be taken seriously as a potential nominee beyond the fuzzy field of dreams that hides here in "the land between two rivers".
In an world dotted with shiny, overproduced Disclosure replicants, it's refreshing to hear a bit of crackle now and then maybe a fuzzy field recording, or a rhythm section that sounds like you shook that tampon bin in the bathroom at work.
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Next, we generalize the concepts of fuzzy linear spaces over fuzzy fields to -fuzzy linear subspaces over -fuzzy subfields, and give some fundamental properties.
Further attention is needed for the study of applications of the established results in the fuzzy economic field and fuzzy game theory.
It highlights the way in which such OO concepts allow the extension of the programming language idioms with the semantics of the fuzzy logic field.
By comparing the results with traditional Monte Carlo simulation and vertex method, two numerical examples evidence the feasibility and effectiveness of the proposed methods at predicting the fuzzy temperature field in engineering.
Comparing result with traditional Monte Carlo simulation and parameter perturbation method, two numerical examples evidence the remarkable accuracy and effectiveness of proposed methods for fuzzy temperature field prediction in engineering.
Also, a very important generalization and development related to the subject of the present paper is in the field of fuzzy sets, i.e., fuzzy calculus and fuzzy differential equations under the generalized Hukuhara derivative.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com