|Table of Contents|

Generalized Fuzzy p-Pseudonorm and Locally Semi-Convex I-Topological Vector Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年01期
Page:
8-14
Research Field:
数学
Publishing date:

Info

Title:
Generalized Fuzzy p-Pseudonorm and Locally Semi-Convex I-Topological Vector Spaces
Author(s):
Zhang Hui1; 2; Fang Jinxuan1
( 1. S chool ofM athem atics and C ompu ter Science, N an jing Norm alUn iversity, Nan jing 210097, Ch ina)
( 2. Departm en t ofM athem atics, Anhu iN orm alUn ivers ity, W uhu 241000, Ch ina )
Keywords:
sem -i conv ex fuzzy set;  locally sem -i convex I- topo log ica l vecto r space;  genera lized fuzzy p - pseudono rm
PACS:
O189.13
DOI:
-
Abstract:
In th is paper, we g ive a new de finition of locally sem -i convex I- topo log ica l v ec tor spaces and renam e lo ca lly sem -i convex fuzzy topo log ica l linear spaces as locally sem -i convex I- topo log ica l vecto r spaces o f (QL ) - type. The relation be tw een these two defin itions is studied. W e introduce the no tion o f genera lized fuzzy p - pseudono rm, and prove tha t ev ery locally sem -i convex I- vector topo logy can be determ ined by a fam ily o f genera lized fuzzy p- pseudonorm s

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Last Update: 2013-05-05