Sains Ma1aysiana 25(2): 87-101 (1996)                                                                                       Pengajian Kuantitatif/

                                                                                                                                                                 Quantitative studies

On Fuzzy Semi-Connectedness

A.K. Chaudhuri & P. Das

Department of Mathematics

Visva-Bharati University

Santiniketan, West Bengal, India

ABSTRACT

The concepts of fuzzy semi-open and semi-closed sets have been utilised to define four types of semi-separation of fuzzy sets corresponding to the notions of separation, Q-separation, weak separation, strong separation and eight types of semi-connectedness viz S_iC, SC_i-connectedness for i = 1 ,2 ,3 ,4 corresponding to the notions of O-connectedness, connectedness, O_q-connectedness and c_i-connectedness of a fuzzy set. Interrelationship between these notions of semi-connectedness of a fuzzy set and their properties have been discussed.

ABSTRAK

Konsep set semi-terbuka dan semi-tertutup kabur digunakan untuk mentakrif empat jenis semi-pemisahan bagi set-set kabur sepadan dengan konsep pemisahan, Q-pemisahan, pemisahan lemah, pemisahan kuat dan lapan jenis keberkaitan, iaitu keberkaitan-S_iC dan keberkaitan-SC_i untuk i=1 ,2 ,3 ,4 sepadan dengan konsep keberkaitan, keberkaitan-O_q dan keberkaitan-C_i bagi set kabur. Hubung kait antara konsep-konsep semi-keberkaitan set kabur ini dan sifat-sifatnya dibincangkan.

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