• Journal of applied mathematics & informatics
• /
• v.27 no.3_4
• /
• pp.541-555
• /
• 2009

The primary purpose of this paper is to prove the fuzzy version of Riesz theorem in n-normed linear space as a generalization of linear n-normed space. Also we study some properties of fuzzy n-norm and introduce a concept of fuzzy anti n-norm.

• Bulletin of the Korean Mathematical Society
• /
• v.44 no.2
• /
• pp.291-308
• /
• 2007

The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit. Furthermore we introduce generalized cartesian product of the intuitionistic fuzzy n-normed linear space and establish some of its properties.

• Bulletin of the Korean Mathematical Society
• /
• v.44 no.3
• /
• pp.447-459
• /
• 2007

The purpose of this paper is to introduce the notion of fuzzy n-inner product space. Ascending family of quasi ${\alpha}$-n-norms corresponding to fuzzy quasi n-norm is introduced and we provide some results on it.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2002.12a
• /
• pp.22-24
• /
• 2002

Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.

• Journal of applied mathematics & informatics
• /
• v.12 no.1_2
• /
• pp.49-57
• /
• 2003

In this paper, we give some sufficient conditions for convergence of geometric mean for T-related fuzzy numbers where T is an Archimedean t-norm under some mild restrictions. These results generalize earlier results of Hong and Lee [Fuzzy Sets and Systems 116 (2000) 263-267].

• Journal of applied mathematics & informatics
• /
• v.6 no.2
• /
• pp.447-454
• /
• 1999

We study a general law of large numbers for array of mu-tually T related fuzzy numbers where T is an Archimedean t-norm and generalize earlier results of Fuller(1992), Triesch(1993) and Hong (1996).

• Journal of applied mathematics & informatics
• /
• v.22 no.1_2
• /
• pp.549-555
• /
• 2006

Using a t-norm, the notion of T-fuzzy subalgebras of right K(G)-algebras is introduced, and fundamental properties are investigated. The fact that T-fuzzy subalgebras of a right K(G)-algebra form a complete lattice is proved.

• Journal of applied mathematics & informatics
• /
• v.17 no.1_2_3
• /
• pp.475-484
• /
• 2005

The main aim of this paper is to consider the fuzzy norm, define the fuzzy Banach spaces, its quotients and prove some theoremes and in particular Open mapping and Closed graph theoremes on these spaces.

• Journal of applied mathematics & informatics
• /
• v.7 no.2
• /
• pp.685-692
• /
• 2000

We introduce the notion of T-fuzzy circled subalgebras, and obtain some related results.

• Journal of the Chungcheong Mathematical Society
• /
• v.25 no.1
• /
• pp.97-103
• /
• 2012

In this paper, we introduce the notion of the statist-cally fuzzy convergent sequence and the statistical fuzzy ${\alpha}$-Cauchy sequence of fuzzy points in a fuzzy normed linear space. And investigate some related properties.