Absence of Non-Trivial Fuzzy Inner Product Spaces and the Cauchy–Schwartz Inequality
Keyword(s):
First, we show that the non-trivial fuzzy inner product space under the linearity condition does not exist, which means a fuzzy inner product space with linearity produces only a crisp real number for each pair of vectors. If the positive-definiteness is added to the condition, then the Cauchy–Schwartz inequality is also proved.
2004 ◽
Vol 69
(2)
◽
pp. 327-340
◽
Keyword(s):
Keyword(s):
2021 ◽
Vol 3
(2)
◽
pp. 80
Keyword(s):
Keyword(s):
2005 ◽
Vol 2005
(18)
◽
pp. 2883-2893
◽
2005 ◽
Vol 78
(2)
◽
pp. 199-210
◽
Keyword(s):
2020 ◽
Vol 57
(4)
◽
pp. 541-551
Keyword(s):
2006 ◽
Vol 4
(1)
◽
pp. 1-6
◽
Keyword(s):