Transformational-generative grammar for description of formal properties

✍ Scribed by Anio O. Arigoni

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 544 KB
• Volume: 8
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(82)80007-9

✦ Synopsis

The necessity of determining to xvhat degree the possession of specific elementary properties. by an object, can be evinced from other properties of more complex ..,Iructure. represents a problem which may arise in fuzzy classification of objects. In this paper, the possibility that said elementary properties are describable through strings of words, and that these last singly denote either the presence or the absence, in each object, of an atomic property is assumed. Also an algorithm by means of which those atomic properties which in the performed descriptions are relevant is presented. Such an algorithm is based ot~ the morphosyntactieal mechanisms forming the (transformational-generative) grammar of the language by which said descriptions are performed.

The mathematical relevance of the subject treated in the paper is relative to the developed t59e of transformation of formal descriptions. The codification of this constitutes, in fact, the accomplishment of an essential phase toward the quantitative evaluation of the fuzziness of the descriptions and. consequently, of their significance.