Algebras on subintervals of pseudo-hoops
type: Item
instance of: scholarly article
title: Algebras on subintervals of pseudo-hoops
zbMATH Open document ID: 1185.03093
author: Lavinia Ciungu
published in: Fuzzy Sets and Systems
publication date: 2009-11-17T00:00:00Z
review text: The author enlarges the research on noncommutative versions of hoops, called pseudo-hoops. Her main interest is concentrated on the question when an interval \([a,b]\) of a pseudo-hoop can be endowed with a structure of a pseudo-hoop. An analogue of a probability measure is a state, as an averaging process for formulas in many-valued logic or in fuzzy logic. There are in principle two kinds: Bosbach states and Riečan states. The author finds relations between them; in some cases they coincide. In particular, she is also looking for the restriction of Bosbach states to subintervals.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 03G25
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 28A60
zbMATH DE Number: 5634426
zbMATH Keywords: pseudo-hoop
zbMATH Keywords: cancellative pseudo-hoop
zbMATH Keywords: Wajsberg pseudo-hoop
zbMATH Keywords: join-center
zbMATH Keywords: cancellative center
zbMATH Keywords: Bosbach state
zbMATH Keywords: Riečan state
describes a project that uses: Pseudo Hoops
MaRDI profile type: Publication
full work available at URL: j.fss.2008.08.013
OpenAlex ID: W2074461262
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DOI: 10.1016/J.FSS.2008.08.013
description: scientific article; zbMATH DE number 5634426