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Soft ordered semigroups
Author(s) -
Jun Young Bae,
Lee Kyoung Ja,
Khan Asghar
Publication year - 2010
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200810030
Subject(s) - ideal (ethics) , semigroup , soft set , mathematics , set (abstract data type) , pure mathematics , soft materials , discrete mathematics , computer science , artificial intelligence , materials science , epistemology , nanotechnology , philosophy , programming language , fuzzy logic
Molodtsov introduced 1999 the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to ordered semigroups. The notions of (trivial, whole) soft ordered semigroup, soft ordered subsemigroup, soft left (right) ideal, and left (right) idealistic soft ordered semigroup are introduced, and various related properties are investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)