Some results on \(\widetilde I(L)\) and \(\widetilde R(L)\)
type: Item
instance of: scholarly article
title: Some results on \(\widetilde I(L)\) and \(\widetilde R(L)\)
zbMATH Open document ID: 0877.54004
DOI: 10.1016/0165-0114(95)00160-3
published in: Fuzzy Sets and Systems
publication date: 1997-12-10T00:00:00Z
review text: Let \((L^X,\delta)\) be a fuzzy topological space, and for \(A\in\delta\), \(a\in L\) (a lattice), \(A[a]= \{x\in X\mid A(x)\nleq a\}\). Consider the topology \(\delta^*\) on \(L^X\), \(\delta^*\) is generated by the subbase \(\delta\cup\{A[a]\mid A\in\delta\), \(a\in L\}\). We call \((L^X,\delta^*)\) a weak inducification of \((L^X,\delta)\) [\textit{D. Zhang} and the reviewer, Acta Math. Sin. 36, No. 1, 68-73 (1993; Zbl 0783.54009)]. In the paper under review, the author investigates the weak inducifications of the fuzzy unit interval \(i(L)\) and the fuzzy real \(R(L)\) [\textit{B. Hutton}, J. Math. Anal. Appl. 50, 74-79 (1975; Zbl 0297.54003)], denoted by \(\widetilde{I}(L)\) and \(\widetilde{R}(L)\), respectively. He gives a result on the connectedness of \(\widetilde{I}(L)\) and some properties of \(\widetilde{R}(L)\).
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1064286
zbMATH Keywords: weak inducification
zbMATH Keywords: fuzzy unit interval
author: Shenggang Li
reviewed by: Yingming Liu
MaRDI profile type: Publication
full work available at URL: 0165-0114(95)00160-3
OpenAlex ID: W1510935429
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description: scientific article; zbMATH DE number 1064286