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Shreenivas Deshpande Library, IIT (BHU), Varanasi

Fuzzy Circle

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In this chapter an attempt has been made to define fuzzy circles in the space which may be viewed as an extension of the traditional definitions of classical circles. Using sup-min composition of extension principle, Buckley and Eslami (Fuzzy Sets Syst. 87:79–85, 1997b) defined fuzzy circles but it again lacks inner conformity with the very basic definitions while they are reduced to crisp sets. In this chapter the fuzzy circle is redefined using same and inverse point of fuzzy geometry. The construction procedure of fuzzy circles under different assumptions are detailed here with some numerical examples. © 2019, Springer Nature Switzerland AG.

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