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Ijsh V2 N2 ( 2016) International Journal of SCIENCE AND HUMANITIES Volume 2, Number 2 : July - December 2016 EDITORS-IN-CHIEF K.PremNazeer U.Rizwan A.NoorMohamed ISLAMIAH COLLEGE PUBLICATIONS ISLAMIAH COLLEGE (AUTONOMOUS), VANIYAMBADI INTERNATIONAL2 JOURNAL OF SCIENCE AND HUMANITIES EDITORS-IN-CHIEF Dr. K. PREM NAZEER Dr. U. RIZWAN Dr. A. NOOR MOHAMED Principal Department of Mathematics Department of Commerce Islamiah College Islamiah College Islamiah College (Autonomous) (Autonomous) (Autonomous) Vaniyambadi635752 Vaniyambadi635752 Vaniyambadi635752 EDITORIAL BOARD Dr. G. Shakeel Mohammed Dr. M. A. Jayaraj IslamiahCollege,Vaniyambadi JointDirectorofCollegiate Education, Vellore Dr. Mansur Ahmed Dr. Major. I.B. Syed Shahabuddeen Islamiah College, Vaniyambadi Islamiah Women’s College, Vaniyambadi Dr. A. Liyakath Ali Dr. R. Saravanan Islamiah College, Vaniyambadi VIT University, Vellore Dr. H. S. Muthu Mohamed Dr. P. Nisar Ahmed Islamiah College, Vaniyambadi University of Madras, Chennai Dr. T. Mohamed Ilyas Dr. R. T. Rajendira Kumar Islamiah College, Vaniyambadi Bharathiar University, Coimbatore Dr. C. A. Basheer Ahamed Khan Dr. A. S. Mohamed Rafee Islamiah College, Vaniyambadi Mazharul Uloom College, Ambur Dr. M. Abdul Kadar Dr. T. K. Thiruvengada Mani Islamiah College, Vaniyambadi University of Madras, Chennai Dr. P. Sivaraji Dr. A. Subramanian Islamiah College, Vaniyambadi University of Madras, Chennai Dr. Shaik Abdul Wahab Islamiah College, Vaniyambadi ANNUAL SUBSCRIPTION RATES Within India : Rs. 1000 Outside India : 100 US $ All remittances must be paid in the name of The Principal, Islamiah College, Vaniyambadi. For further details regarding payment of subscription, please contact [email protected] Disclaimer : All views expressed in the articles are that of the authors. The Publishers are not responsible for the contents of the individual authors. ISLAMIAH COLLEGE PUBLICATIONS ISLAMIAH COLLEGE (AUTONOMOUS) VANIYAMBADI 635 752, INDIA Appeal I am delighted to introduce this issue of International Journal of Science and Humanities (IJSH) to the students and research community on behalf of Islamiah College (Autonomous), Vaniyambadi, a century old institution serving for the cause of education to socially, economically and educationally weaker sections of the society. The IJSH, is a peer reviewed research journal of interdisciplinary nature that cater the needs of the teaching and research society. The aim of the journalis not onlyto provide a space for leading research work but also provide a platform for the budding researchers to publish their maiden attempt in the field of science and humanities. The objective of IJSH is to publish up-to-date, high-quality and original research papers alongside relevant and insightful reviews. This journal was started by Mr. L.M Muneer Ahmed, the Former Secretary of the College with an aspiration to keep the research vibrant in this campus. Now, the torch is handed over to me from June 2016 onwards to run this journal on non-profitable basis without compromising its aims and objectives. At this juncture, I appeal to all teaching and research communities to concentrate on both teaching and research relevant to society, which are symbolically related as the two faces of the same coin. I also appeal to all reviewers and editors not to compromise with the quality of the input and promote this journal to the next level with excellent output. Finally, I pray Almighty to provide guidance for development and success of this journal. Best wishes and thanks for your contribution to the IJSH. Dr. ANWARULLAH HAJEE Secretary & Correspondent Islamiah College (Autonomous) Vaniyambadi 635 752 India Table of Contents Part A: Science Some Operators on Intuitionistic L-Fuzzy sets of Second Type S. Sheik Dhavudh and R. Srinivasan .............................377-382 Anti-oxidative Effect of Silver Nano EGCG particles in Cigarette Smoke induced Alveolar Damage in Male Wistar Rats A. Amjad Hussain, A. Gokulakrishnan, V. Magendira Mani, K. Vinoth, P. Mohamed Kashif and A. Liyakath Ali ..............383-400 Hepatoprotective Effect of Quercetin on Lambda - Cyhalothrin Induced Hepatotoxicity in Male Wistar Rats V. Magendira Mani, A. Nafeez Ahmed, A. Liyakath Ali, A. Gokulakrishnan, K. Vinoth and A. Amjad Hussain ............401-416 Protective Effect of Pomegranate Peel Extract on Mosquito Coil Smoke Exposed Alveolar Damage in Male Wistar Rats K. Vinoth, V. Magendira Mani and A. Liyakath Ali ..............417-430 Immune Gene Expression during Larval Development of Giant Freshwater Prawn, Macrobrachium rosenbergii (de Man, 1879) M. A. Farook and A. S. Sahul Hameed ..........................431–442 Part B: Humanities A Study of Urdu and English Medium Secondary School Teachers’ Morale Mohamed Moshahid ............................................445-454 Bapsi Sidwa’s Ice-Candy-Man : A Perspective in the Background of Partition B. Akbar Alam .................................................455- 460 Genesis of National Consciousness in Tamil Nadu with Special Reference To Madras Native Association H. Munavarjan .................................................461- 464 Hero-Stone Speaks: Altruism was Volksgeist in Krishnagiri Region P. Basith Asrani ................................................465 - 470 Social and Economic Exploitation in Medieval Tamil Nadu K. Murugan ................................................... .471 - 476 Disparity of Higher Education in India: An Assessment C. A. Basheer Ahamed Khan, S. Liyahath John and A. Saiyadha Begum .........................................477-484 A Study on Customer Satisfaction of E-Banking Services in Vaniyambadi Town N. Roja Bai and A. Noor Mohamed .............................485–492 A Study on Investment Preference and Behaviour of Individual Investors in Vellore City M. Srinivasan and T. Mohamed Ilyas ............................493–502 A Study on Consumer Behaviour towards Home Appliances with Reference to Vellore District C. Nithya and A. Noor Mohamed ...............................503–524 Family-Work Conflict and Job Satisfaction - A Study with Reference to Information Technology Professionals V. Mahmudul Hasan and T. Mohamed Ilyas .....................525–544 Management Students’ Awareness on Stock Market Efficiency - A Bird’s Eye View S. Thameemul Ansari and S. Aslam Basha ......................545–552 User Awareness About The Seminars / Workshops Conducted by Department of Library and Information Science, Islamiah College (Autonomous), Vaniyambadi, Vellore District: A Study N. Abdul Latheef and T. K. Thiruvengadamani ..................553–562 International Journal of Science and Humanities ISSN 2394 9236 Volume 2, Number 2 (2016), pp. 377–382 c Islamiah College Publications http://www.islamiahcollege.edu.in Some Operators on Intuitionistic L-Fuzzy sets of Second Type S. Sheik Dhavudh† and R. Srinivasan∗ Department of Mathematics, Islamiah College, Vaniyambadi 635 752, India ∗ e-mail: [email protected] Abstract In this paper, we define the new operators namely necessity and possibility on Intuitionistic L-Fuzzy Sets of second type and study some of their properties. AMS Subject Classification: 03E72 Keywords: Intuitionistic Fuzzy Sets, necessity, possibility. 1. Introduction Fuzzy sets were introduced by Lotfi.A. Zadeh in 1965 as a generalisation of classical(crisp)sets. Further the fuzzy sets are generalised by Krassimir.T. Atanassov in which he has taken non-membership values also into consideration and introduced Intuitionistic Fuzzy sets[IFS] and their extensions like Intuitionistic Fuzzy sets of second type, Intuitionistic L-Fuzzy sets and Temporal Intuitionistic Fuzzy sets. In section 2, we give some basic definitions and in section 3, we introduce the new operators necessity() and possibility(♦) on ILFSST in the universal set E. Also we establish some of their properties. The paper is concluded in section 4 . 2. Preliminaries In this section, we give some basic definitions. Definition 2.1 [7] A Fuzzy set [FS] A in a universal set E is defined by, A = {hx, µA(x)i| x ∈ E} where µA : E → [0, 1] is the membership function representing the membership degree of element x in the FS A such that 0 ≤ µA(x) ≤ 1 378 Some Operators on Intuitionistic L-Fuzzy sets of Second Type Definition 2.2 [7] The support of a Fuzzy Set A in a universal set E is denoted by Supp(A) and is defined as, Supp (A)= {x : µA(x) > 0, x ∈ E} Example. Let X = {1, 2, 3} and A = {h1, 0.2i, h2, 0i, h3, 0.4i} then, Supp (A) = {1, 3} Definition 2.3 [1] An Intuitionistic Fuzzy set[IFS] A in a universal set E is defined as an object of the form, A = {hx, µA(x), νA(x)i| x ∈ E}, where µA : E → [0, 1] and νA : E → [0, 1] denote the degree of membership and the degree of non-membership of the element x ∈ E respectively, satisfying 0 ≤ µA(x)+ νA(x) ≤ 1 The value πA(x)=1−µA(x)−νA(x) is the degree of uncertainty of the element x ∈ E to the IFS A Definition 2.4 [1] The support of an Intuitionistic Fuzzy Set A in a universal set E is denoted by Supp(A) and is defined as, Supp (A)= {x : µA(x) > 0, νA(x) > 0, x ∈ E} Example. Let X = {1, 2, 3} and A = {h1, 0.2, 0.8i, h2, 0.1, 0.7i, h3, 0, 0i} then, Supp (A)= {1, 2} Definition 2.5 [1] An Intuitionistic Fuzzy sets of second type [IFSST] A in a universal set E is defined as an object of the form, A = {hx, µA(x), νA(x)i| x ∈ E}, where µA : E → [0, 1] and νA : E → [0, 1] denote the degree of membership and the degree of non-membership of the element x ∈ E respectively, satisfying 2 2 0 ≤ µA(x) + νA(x) ≤ 1. 2 2 The value πA(x) = p1 − µA(x) − νA(x) is the degree of uncertainty
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