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INTERVAL VALUED (α, β)-INTUITIONISTIC FUZZY BI-IDEALS OF SEMIGROUPS
ABDULLAH, SALEEM,ASLAM, MUHAMMAD,HUSSAIN, SHAH The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.1
The concept of quasi-coincidence of interval valued intuitionistic fuzzy point with an interval valued intuitionistic fuzzy set is considered. By using this idea, the notion of interval valued (α, β)-intuitionistic fuzzy bi-ideals, (1,2)ideals in a semigroup introduced and consequently, a generalization of interval valued intuitionistic fuzzy bi-ideals and intuitionistic fuzzy bi-ideals is defined. In this paper, we study the related properties of the interval valued (α, β)-intuitionistic fuzzy bi-ideals, (1,2) ideals and in particular, an interval valued (Є, Є ∨q)-fuzzy bi-ideals and (1,2) ideals in semigroups will be investigated.
LA-SEMIGROUPS CHARACTERIZED BY THE PROPERTIES OF INTERVAL VALUED (α, β)-FUZZY IDEALS
Saleem Abdullah,Samreen Aslam,Noor ul Amin 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.3
The concept of interval-valued (α,β)-fuzzy ideals, intervalvalued (α,β)-fuzzy generalized bi-ideals are introduced in LA-semigroups, using the ideas of belonging and quasi-coincidence of an interval-valued fuzzy point with an interval-valued fuzzy set and some related properties are investigated. We define the lower and upper parts of interval-valued fuzzy subsets of an LA-semigroup. Regular LA-semigroups are characterized by the properties of the lower part of interval-valued (∊,∊ Vq)-fuzzy left ideals, interval-valued (∊,∊ Vq)-fuzzy quasi-ideals and interval-valued (∊,∊ Vq)-fuzzy generalized bi-ideals. Main Facts.
LA-SEMIGROUPS CHARACTERIZED BY THE PROPERTIES OF INTERVAL VALUED (α, β)-FUZZY IDEALS
Abdullah, Saleem,Aslam, Samreen,Amin, Noor Ul The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.3
The concept of interval-valued (${\alpha},{\beta}$)-fuzzy ideals, interval-valued (${\alpha},{\beta}$)-fuzzy generalized bi-ideals are introduced in LA-semigroups, using the ideas of belonging and quasi-coincidence of an interval-valued fuzzy point with an interval-valued fuzzy set and some related properties are investigated. We define the lower and upper parts of interval-valued fuzzy subsets of an LA-semigroup. Regular LA-semigroups are characterized by the properties of the lower part of interval-valued (${\in},{\in}{\vee}q$)-fuzzy left ideals, interval-valued (${\in},{\in}{\vee}q$)-fuzzy quasi-ideals and interval-valued (${\in},{\in}{\vee}q$)-fuzzy generalized bi-ideals. Main Facts.
Interval valued $(\alpha ,\beta )$-intuitionistic fuzzy bi-ideals of semigroups
Saleem Abdullah,Muhammad Aslam,Shah Hussain 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.1
The concept of quasi-coincidence of interval valued intuitionistic fuzzy point with an interval valued intuitionistic fuzzy set is considered. By using this idea, the notion of interval valued $\left( \alpha ,\beta \right) $-intuitionistic fuzzy bi-ideals, (1,2)ideals in a semigroup introduced and consequently, a generalization of interval valued intuitionistic fuzzy bi-ideals and intuitionistic fuzzy bi-ideals is defined. In this paper, we study the related properties of the interval valued $\left( \alpha ,\beta \right) $-intuitionistic fuzzy bi-ideals, (1,2) ideals and in particular, an interval valued $(\in ,\in \vee q)$-fuzzy bi-ideals and (1,2) ideals in semigroups will be investigated.
ON INTUITIONISTIC FUZZY PRIME ${\Gamma}$-IDEALS OF ${\Gamma}$-LA-SEMIGROUPS
Abdullah, Saleem,Aslam, Muhammad The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.3
In this paper, we introduce and study the intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideals of ${\Gamma}$-LA-semigroups and some interesting properties are investigated. The main result of the paper is: if $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an IFS in ${\Gamma}$-LA-semigroup S, then $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideal of S if and only if for any $s,t{\in}[0,1]$, the sets $U({\mu}_A,s)=\{x{\in}S:{\mu}_A(x){\geq}s\}$ and $L({\gamma}_A,t)=\{x{\in}S:{\gamma}_A(x){\leq}t\}$ are prime (semi-prime) ${\Gamma}$-ideals of S.
ON INTUITIONISTIC FUZZY PRIME Γ-IDEALS OF Γ-LA-SEMIGROUPS
Saleem Abdullah,Muhammad Aslam 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.3
Abstract. In this paper, we introduce and study the intuitionistic fuzzy prime (semi-prime) Γ−ideals of Γ−LA-semigroups and some interesting properties are investigated. The main result of the paper is: if A = ⟨A;μA⟩ is an IFS in Γ−LA-semigroup S, then A = ⟨μA;A⟩ is an intuitionistic fuzzy prime (semi-prime) Γ−ideal of S if and only if for any s; t ∈ [0; 1], the sets U (μA, s) = {x ∈ S : μA (x) ≥ s} and L(A, t) = {x ∈ S :A (x) ≤ t} are prime (semi-prime) Γ−ideals of S.
Saleem, Naifa Eid,Al Kindi, Abdullah Khamis,Ai-Rahbi, Khalifa Research Institute for Knowledge Content Developme 2017 International Journal of Knowledge Content Develop Vol.6 No.2
Omani citizens participate in building the culture of democracy through the implementation of the legal deposit or the Law of Printing and Publishing. Legal deposit is the law that requires individuals and agencies who are responsible for printing and applying the law in Oman, whether they are publishers, printing houses or authors, to submit certain copies of their work or publications to a repository, usually a library. The present study aims to explore the reality of the Omani Law of Printing and Publishing and discover how the law defines the term "publications". In addition to the role of this law in building the Omani culture of democracy, the study uses an interpretive research paradigm of applied unstructured interviews and content analysis. Twenty-four printing houses were interviewed. The findings determined that definition of the term "publications", according to the law, is very general and covers different items, and the Law of Printing and Publishing plays an essential role in the building of Oman's culture of democracy. The study also found that all of the printing houses interviewed participated in creating the Omani culture by depositing the requested copies of their publications, although four of them had negative beliefs about the law of "Printing and Publishing". In addition, the study found (19=79.1%) of the sample interpreted the term "culture of democracy" in a positive way.
Channel Allocation in Multi-radio Multi-channel Wireless Mesh Networks: A Categorized Survey
( Saleem Iqbal ),( Abdul Hanan Abdullah ),( Khalid Hussain ),( Faraz Ahsan ) 한국인터넷정보학회 2015 KSII Transactions on Internet and Information Syst Vol.9 No.5
Wireless mesh networks are a special type of broadcast networks which cover the qualifications of both ad-hoc as well as infrastructure mode networks. These networks offer connectivity to the last mile through hop to hop communication and by comparatively reducing the cost of infrastructure in terms of wire and hardware. Channel assignment has always been the focused area for such networks specifically when using non-overlapping channels and sharing radio frequency spectrum while using multiple radios. It has always been a challenge for mesh network on impartial utilization of the resources (channels), with the increase in users. The rational utilization of multiple channels and multiple radios, not only increases the overall throughput, capacity and scalability, but also creates significant complexities for channel assignment methods. For a better understanding of research challenges, this paper discusses heuristic methods, measurements and channel utilization applications and also examines various researches that yield to overcome this problem. Finally, we highlight prospective directions of research.
( Abdullah Yasar ),( Amtul Bari Tabinda ),( Uzma Shahzadi ),( Pakeeza Saleem ) 한국화학공학회 2014 Korean Chemical Engineering Research(HWAHAK KONGHA Vol.52 No.5
The main focus of this study was the evaluation of arsenic concentration in the ground water of Lahore atdifferent depth and application of different mitigation techniques for arsenic removal. Twenty four hours of solar oxidationgives 90% of arsenic removal as compared to 8 hr. or 16 hr. Among oxides, calcium oxide gives 96% of Asremoval as compared to 93% by lanthanum oxide. Arsenic removal efficiency was up to 97% by ferric chloride, whereas95% by alum. Activated alumina showed 99% removal as compared to 97% and 95% removal with bauxite and charcoal,respectively. Elemental analysis of adsorbents showed that the presence of phosphate and silica can cause a reductionof arsenic removal efficiency by activated alumina, bauxite and charcoal. This study has laid a foundation forfurther research on arsenic in the city of Lahore and has also provided suitable techniques for arsenic removal.