Abstract
The most distinguished scientific contribution of L. A. Zadeh are his papers related to natural language and his vision how his concepts can be applied. Let us remember the papers [15,16,17,18, 20,21,22,23,24]. The leading idea in all of them consists in the observation that practically all words and expressions of natural language with full meaning (i.e., exclamations, prepositions, etc. are excluded) have vague semantics. Zadeh suggests to capture it using the concept of degree. Consequently, extensions of such expressions can be modeled using fuzzy sets.
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Notes
- 1.
The values of beauty can be understood as dimensionless degrees taken from some scale, typically [0, 1].
- 2.
Such imprecise equality must indeed exist in our mind and it is captured already in child age. The learning procedure is called “ostensive definition” and it is captured, when mother shows her child an animal or a toy and says, for example “this is a cat”. After some time, the child can itself point out to another (and different) object and recognize that this is “also a cat”.
- 3.
TE stands for “trichotomic evaluative”.
- 4.
This concept is taken from [14].
- 5.
- 6.
Its height is 413 m.
- 7.
Its height is 333 m.
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The research was supported by the project IT4I XS (LQ1602).
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Novák, V. (2020). The Concept of Linguistic Variable Revisited. In: Shahbazova, S., Sugeno, M., Kacprzyk, J. (eds) Recent Developments in Fuzzy Logic and Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 391. Springer, Cham. https://doi.org/10.1007/978-3-030-38893-5_6
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