Results 191 to 200 of about 324 (204)

Optical inner-product implementation of fuzzy associative memory

Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94), 2002
An inner-product representation of fuzzy associative memory is presented, and an optical multiple-imaging system is presented to realize the fuzzy associative memory based on the inner-product form. The experiment results are given, too. >
null Shuqun Zhang, null Senmao Lin, null Zhongren Su, null Caisheng Chen   +3 more
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A comparative study of fuzzy inner product spaces

2015
Summary: In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm [\textit{C. Felbin}, Fuzzy Sets Syst. 48, No.~2, 239--248 (1992; Zbl 0770.46038)] and the other is based on Bag and Samanta's fuzzy norm [\textit{T. Bag} and \textit{S. K. Samanta}, J. Fuzzy Math.
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Generalized Cartesian Product of Intuitionistic Fuzzy 2 – Inner Product Spaces

Asian Journal of Research in Social Sciences and Humanities, 2016
The aim of the paper is to process a new interesting notion of Generalized Cartesian Product of Intuitionistic Fuzzy 2 –Inner product spaces and to establish some results on ...
V. Tamilselvan, N. Saivaraju
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Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces

2014
We introduce and study fuzzy (co-)inner product and fuzzy (co- )norm of hyperspaces. In this regard by considering the notion of hyperspaces, as a generalization of vector spaces, rst we will introduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions of fuzzy (co-)norm and fuzzy (co-)orthogonality in ...
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NORM AND INNER PRODUCT ON FUZZY LINEAR SPACES OVER FUZZY FIELDS

2011
In this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
Santhosh, C. P., Ramakrishnan, T. V.
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FUZZY WEAK $n$-INNER PRODUCT SPACE

South East Asian Journal of Mathematics and Mathematical Sciences
The paper is concerned with fuzzy real numbers and Felbin-type fuzzy inner product spaces. At first, we study fuzzy 2-inner product and discuss a few basic results of fuzzy inner product and fuzzy $2$-inner product. The existence of fuzzy $2$-inner product is proved with the help of an example.
Bimalendu Kalita, Sinam Rajkishore Singha   +1 more
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Fuzzy stability of a functional equation associated with inner product spaces

Fuzzy Sets and Systems, 2009
Using some ideas of \textit{A. K. Mirmostafaee} and \textit{M. S. Moslehian} [Fuzzy Sets Syst. 159, No.~6, 720--729 (2008; Zbl 1178.46075)], the author proves the generalized Hyers-Ulam stability of the functional equation \[ 2f\left(\frac{x+y}{2}\right)+f\left(\frac{x-y}{2}\right)+f\left(\frac{y-x}{2}\right)=f(x)+f(y) \] in fuzzy Banach spaces for odd
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Some Aspects of Intuitionistic Fuzzy 2-Inner Product Space

Asian Journal of Research in Social Sciences and Humanities, 2016
In this paper, the concept of Intuitionistic fuzzy 2- inner product space is introduced. By virtue of this definition, parallelogram law and Polarization Identity are proved.
N. Saivaraju, V. Tamilselvan
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FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

2014
The fuzzy stability problems for the Cauchy quadratic functional equation and the Jensen quadratic functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Th. M. Rassias introduced the following equality Xm i,j=1 kxi − xjk 2 = 2m Xm i=1 kxik 2 , Xm i=1 xi = 0, for a fixed integer m ≥ 3. By the above equality, we define the
JANG, Sun Young, PARK, Choonkil
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Inner Product of Fuzzy Vectors

2023
exaly