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International Journal of Data Envelopment Analysis and *Operations Research*

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Current Issue» Volume 1, Number 3 (2014)


A New Method for Solving Fully Fuzzy Linear Programming with LR- type Fuzzy Numbers

1Department of Mathematics, Comprehensive Imam Hossein University, Tehran, Iran

2Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran

International Journal of Data Envelopment Analysis and *Operations Research*. 2014, 1(3), 53-55
DOI: 10.12691/ijdeaor-1-3-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
M. M. Shamooshaki, A. Hosseinzadeh, S. A. Edalatpanah. A New Method for Solving Fully Fuzzy Linear Programming with LR- type Fuzzy Numbers. International Journal of Data Envelopment Analysis and *Operations Research*. 2014; 1(3):53-55. doi: 10.12691/ijdeaor-1-3-3.

Correspondence to: S.  A. Edalatpanah, Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran. Email:


One of the most practicable subjects in recent studies is based on LR fuzzy number, which was defined and used by Dubois and Prade with some useful and easy approximation arithmetic operators on them. In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy Linear Programming (FFLP) problems with equality constraints. We use also LR-type fuzzy numbers and our model covers a wide class of fuzzy numbers, such as triangular fuzzy numbers. To illustrate our method, a numerical example is solved.



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Statistical Modeling and Analysis of Mother-To-Child Transmission of HIV: A Case Study in Referral Hospital and Health Center of Hawassa Town, South Nation Nationality People, Ethiopia

1Department of Mathematics and Statistics, Wollo University, Kombolcha, Ethiopia

2Department of Chemical Engineering, Wollo University, Kombolcha, Ethiopia

International Journal of Data Envelopment Analysis and *Operations Research*. 2014, 1(3), 49-52
DOI: 10.12691/ijdeaor-1-3-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Helen Moges Fentaw, Anteneh Worku, Omprakash Sahu. Statistical Modeling and Analysis of Mother-To-Child Transmission of HIV: A Case Study in Referral Hospital and Health Center of Hawassa Town, South Nation Nationality People, Ethiopia. International Journal of Data Envelopment Analysis and *Operations Research*. 2014; 1(3):49-52. doi: 10.12691/ijdeaor-1-3-2.

Correspondence to: Omprakash  Sahu, Department of Chemical Engineering, Wollo University, Kombolcha, Ethiopia. Email:


Mother-to-Child Transmission of HIV (MTCT) is the major source of HIV infection among children under the age of 15 years. Within the prevention programs, package of services including HIV counseling and testing, provision of prophylactic antiretroviral (ARV) drugs for mothers and babies, safe delivery practices and infant feeding counseling is being given. This study is thus to model mother-to-child transmission of HIV and survival of HIV infected babies. The data were obtained from Health Centre and Referral Hospital at Hawassa town recorded from year 1999-2001. Bayesian logistic regression, Kaplan Meier method & Cox proportional hazards model are applied. The results of the analysis showed that among the 200 children who HIV positive 16% died were. Another finding is that about 97.3% of the total pregnant women were married and 41.3% of them were illiterate. Among 802 mothers, 97 or 12.1% are HIV positive. From the 97 HIV positive pregnant women, a majority (92.8%) had good knowledge about HIV transmission and AIDS disease. However 94.9% of them had very low knowledge about the prophylaxis treatment and ART medication. The variables age, marital status and occupation are the main significant factors that may expose the mothers to HIV infection. Pregnant women who were married and in elementary occupation were more likely to be infected than those who were unmarried and in higher occupation. Moreover, analysis of the children data showed that variables low weight, low CD4 count of children and interaction of both with age decrease the hazard of time to death by 15%, 2% and 0% respectively. Conclusion considering the prevailing high level of HIV infection rate among MTCT clients, re-organization of the PMTCT services especially raising the level of awareness of MTCT/PMTCT among pregnant women is important to prevent the babies from HIV infection.



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Global Economic Crisis and Productivity Changes of Banks in India: A DEA-MPI Analysis

1Department of Statistics, Madras Christian College, Chennai, Tamil Nadu, India

International Journal of Data Envelopment Analysis and *Operations Research*. 2014, 1(3), 40-48
DOI: 10.12691/ijdeaor-1-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
R. Madhanagopal, R. Chandrasekaran. Global Economic Crisis and Productivity Changes of Banks in India: A DEA-MPI Analysis. International Journal of Data Envelopment Analysis and *Operations Research*. 2014; 1(3):40-48. doi: 10.12691/ijdeaor-1-3-1.

Correspondence to: R.  Madhanagopal, Department of Statistics, Madras Christian College, Chennai, Tamil Nadu, India. Email:


The present study explores the relationship between Global economic crisis (GEC) and productivity growth of Indian banking sector using data envelopment analysis based malmquist index (DEA-MI) for the study period 2005 to 2012, which are partition into three different period viz., pre-crisis, crisis and post-crisis. The empirical result showed that total factor productivity (TFP) for pre and crisis regressed by 7 and 0.6% respectively and post by a slight progress of 0.3%. Comparing technical and technological efficiency changes over the study periods, during pre-crisis, improvements in productivity of Indian banking sector was influenced by technological innovation whereas it went down and technical efficiency influenced the productivity in crisis and post-crisis periods. This may be due to effect of economic crisis and banks would have struggled for survival and hard to concentrate on new technological innovations.



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