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作者:Niovi Kehayopulu , Michael Tsingelis
来源:[J].Information Sciences(IF 3.643), 2004, Vol.171 (1), pp.13-28
摘要:... We define the fuzzy bi-ideals in ordered semigroups and we give the main theorem which characterizes the bi-ideals in terms of fuzzy bi-ideals. Then we characterize the left and right simple, the completely regular, and the strongly regular ordered semigroups by means of ...
作者:Aslıhan Sezgin Sezer
来源:[J].Knowledge-Based Systems(IF 4.104), 2012, Vol.36, pp.300-314
摘要:Abstract(#br)In this paper, by defining soft intersection–union product, we make a new approach to the classical ring theory via soft set theory, with the concept of soft union rings, ideals and bi-ideals. Moreover, we characterize regular, regular duo, intra-regular and st...
作者:Bijan Davvaz , Asghar Khan
来源:[J].Information Sciences(IF 3.643), 2011, Vol.181 (9), pp.1759-1770
摘要:... Also, we consider the concept of implication-based fuzzy generalized bi-ideals in an ordered semigroup. In particular, the implication operators in L ukasiewicz system of continuous-valued logic are discussed.
作者:Muhammad Izhar , Asghar Khan , Kostaq Hila
来源:[J].Journal of Intelligent & Fuzzy Systems(IF 0.788), 2018, Vol.35 (4), pp.4701-4715
摘要:In this paper, we introduce double-framed soft bi-ideals (briefly DFS bi-ideals) and double-framed soft generalized bi-ideals (briefly DFS generalized bi-ideals) in AG-groupoids and some properties of them are investigated. Several characterizations of intra-regular AG-groupoids ...
作者:Asghar Khan , Young Bae Jun , Muhammad Shabir
来源:[J].Journal of Intelligent & Fuzzy Systems(IF 0.788), 2013, Vol.25 (1), pp.57-68
摘要:...)-fuzzy bi-ideals in ordered semigroups. Which is a generalization of the idea of an (α, β)-fuzzy bi-ideals in ordered semigroups. Some interesting results of the algebraic ordered semigroups in terms of interval valued (α, β)-fuzzy bi-ideals are given. B...
作者:Muhammad Ibrar , Asghar Khan , Bijan Davvaz
来源:[J].Journal of Intelligent & Fuzzy Systems(IF 0.788), 2017, Vol.33 (1), pp.365-376
摘要:... We also introduce the upper/lower parts of (∈, ∈ ∨q)-bipolar fuzzy generalized bi-ideals and characterize the regular ordered semigroups in terms of lower part of (∈, ∈ ∨q)-bipolar fuzzy left (resp. right or two sided) ideals and (∈, ∈ ∨q)-bipolar fuzzy...
作者:Tariq Shah , Nasreen Kausar
来源:[J].Theoretical Computer Science(IF 0.489), 2014, Vol.529, pp.96-110
摘要:Abstract(#br)The aim of this paper is to investigate the characterizations of different classes of non-associative and non-commutative ordered semigroups in terms of fuzzy left (right, bi-, generalized bi-, ( 1 , 2 ) -) ideals.
作者:K.A. Dib , N. Galhum
来源:[J].Fuzzy Sets and Systems(IF 1.749), 1997, Vol.92 (1), pp.103-111
摘要:Abstract(#br)The purpose of this paper is to introduce some basic concepts of fuzzy algebra such as fuzzy (left, right) ideal and fuzzy bi-ideal in fuzzy semigroup, through the new approach of fuzzy space and fuzzy group introduced by Dib (1994). Our notion of fuzzy ideal and fuz...

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