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Tripolar fuzzy interior ideals and tripolar fuzzy soft interior ideals over semigroups
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.3
M.Murali Krishna Rao [14] introduced the notion of tripolar fuzzy set as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set.The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevent elements and contrary elements. In this paper,we introduce the notion of tripolar fuzzy interior ideal,tripolar fuzzy soft ideal, tripolar fuzzy soft interior ideal over semigroup and study some of their algebraic properties.
ON FUZZY k−IDEALS, k−FUZZY IDEALS AND FUZZY 2−PRIME IDEALS IN Γ−SEMIRINGS
Murali Krishna Rao, M.,Venkateswarlu, B. The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.5
The notion of Γ-semiring was introduced by M. Murali Krishna Rao [8] as a generalization of Γ-ring as well as of semiring. In this paper fuzzy k-ideals, k-fuzzy ideals and fuzzy-2-prime ideals in Γ-semirings have been introduced and study the properties related to them. Let μ be a fuzzy k-ideal of Γ-semiring M with |Im(μ)| = 2 and μ(0) = 1. Then we establish that M<sub>μ</sub> is a 2-prime ideal of Γ-semiring M if and only if μ is a fuzzy prime ideal of Γ-semiring M.
On fuzzy $k-$ideals, $k-$fuzzy ideals and fuzzy $2-$prime ideals in $\Gamma -$semirings
M. Murali Krishna Rao,B. Venkateswarlu 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.5
The notion of $\Gamma -$semiring was introduced by M. Murali Krishna Rao \cite{8} as a generalization of $\Gamma -$ring as well as of semiring. In this paper fuzzy $k-$ideals, $k-$fuzzy ideals and fuzzy-$2-$prime ideals in $\Gamma -$semirings have been introduced and study the properties related to them. Let $\mu$ be a fuzzy $k-$ideal of $\Gamma -$semiring $M$ with $| Im(\mu)| =2$ and $\mu(0)=1.$ Then we establish that $M_{\mu}$ is a $2-$prime ideal of $\Gamma -$semiring $M$ if and only if $\mu$ is a fuzzy prime ideal of $\Gamma -$semiring $M.$
Epidemiology of Oral Cancer in Asia in the Past Decade- An Update (2000-2012)
Rao, Sree Vidya Krishna,Mejia, Gloria,Roberts-Thomson, Kaye,Logan, Richard Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.10
The prevalence of oral cancers (OC) is high in Asian countries, especially in South and Southeast Asia. Asian distinct cultural practices such as betel-quid chewing, and varying patterns of tobacco and alcohol use are important risk factors that predispose to cancer of the oral cavity. The aim of this review is to provide an update on epidemiology of OC between 2000 and 2012. A literature search for this review was conducted on Medline for articles on OC from Asian countries. Some of the articles were also hand searched using Google. High incidence rates were reported from developing nations like India, Pakistan, Bangladesh, Taiwan and Sri Lanka. While an increasing trend has been observed in Pakistan, Taiwan and Thailand, a decreasing trend is seen in Philippines and Sri Lanka. The mean age of occurrence of cancer in different parts of oral cavity is usually between 51-55 years in most countries. The tongue is the leading site among oral cancers in India. The next most common sites in Asian countries include the buccal mucosa and gingiva. The 5 year survival rate has been low for OC, despite improvements in diagnosis and treatment. Tobacco chewing, smoking and alcohol are the main reasons for the increasing incidence rates. Low socioeconomic status and diet low in nutritional value lacking vegetables and fruits contribute towards the risk. In addition, viral infections, such as HPV and poor oral hygiene, are other important risk factors. Hence, it is important to control OC by screening for early diagnosis and controlling tobacco and alcohol use. It is also necessary to have cancer surveillance at the national-level to collect and utilise data for cancer prevention and control programs.
Fuzzy $r$-ideals in $\Gamma$-incline
M. Murali Krishna Rao,B. Venkateswarlu,N. Rafi 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.17 No.3
In this paper, we introduce the notion of fuzzy ideal, fuzzy $k$-ideal and fuzzy $r$-ideal in $\Gamma$-incline. We study the properties of fuzzy ideals, fuzzy $k$-ideals and fuzzy $r$-ideals in $\Gamma$-incline.
Quasi-interior ideals and fuzzy quasi-interior ideals of semigroups
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.19 No.2
In this paper, we introduce the notion of quasi-interior ideal as a generalization of quasi-ideal and interior ideal of semigroup and fuzzy quasi-interior ideal of semigroup. We characterize the regular semigroup in terms of fuzzy quasi-interior ideal of semigroup.
Fuzzy ideal graphs of a semigroup
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.3
The main objective of this paper is to connect fuzzy theory, graph theory and fuzzy graph theory with algebraic structure. We introduce the notion of fuzzy graph of semigroup, the notion of fuzzy ideal graph of semigroup as a generalization of fuzzy ideal of semigroup, intuitionistic fuzzy ideal of semigroup, fuzzy graph and graph, the notion of isomorphism of fuzzy graphs of semigroups and regular fuzzy graph of semigroup and we study some of their properties.
Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semirings
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.18 No.1
In this paper, we introduce the notion of quasi-interior ideal and fuzzy quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy quasi-interior ideal of $\Gamma$-semiring.