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The fuzzy sets [29] were extended by Atanassov [4] to develop the intuitionistic fuzzy sets by including non-membership function which is useful to express vagueness more accurately as compared to fuzzy sets.
In creating soil layer models for our study site, we were challenged (i) to express vagueness of our soil data, while at the same time maintaining adherence to systematic classification principles, and (ii) to describe continuously the spatial distribution of soil materials and layers in three dimensions.
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The model is capable of expressing vagueness of all the system parameters and gives the decision-maker (DM) alternative decision plans for different grades of precision.
This helps us to express the imprecision and vagueness in the real networks which cannot be easily studied [30].
Mr. Johnson said that new, more specific language had been written into more recent bills being introduced in Congress and state legislatures that might help to overcome the objection of vagueness expressed by the court's majority.
If we introduce vagueness into SLs and express SLs by fuzzy terms, we face quite new, reasonable and interesting processes, where ordinary capability indices are not appropriate for measuring the capability of these processes.
Through a process of laborious conjugation that would befuddle even the most competent Latin grammarian, Ithkuil requires a speaker to home in on the exact idea he means to express, and attempts to remove any possibility for vagueness.
However, it is also possible that simulated patients just seized the vagueness of indirect questioning as an opportunity to express themselves.
Some Catholics have expressed fear that such vagueness leads to bias and arbitrariness.
expressed frustration with the vagueness of the proceedings.
A number between 0 and 1 was employed to express the imprecision/vagueness that arises in many real situations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com