Finite Dimensional Generating Spaces of Quasi-Norm Family

نویسندگان
Bag, T. ID 1
Samanta, S. K. ID 2
Rano, G. ID 3

1 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India

2 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India

3 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India

doi
10.22111/ijfs.2013.1210
چکیده

In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.

کلیدواژه‌ها
Quasi-norm, ~Generating space, ~Fuzzy norm, ~ t-norm