TOPSIS Approach for Solving Bi-Level Non-Linear Fractional MODM Problems

TOPSIS (technique for order preference similarity to ideal solution) is considered one of the known classical multiple criteria decision making (MCDM) methods to solve bi-level non-linear fractional multi-objective decision making (BL-NFMODM) problems, and in which the objective function at each level is considered nonlinear and maximization type fractional functions. The proposed approach presents the basic terminology of TOPSIS approach and the construction of membership function for the upper level decision variable vectors, the membership functions of the distance functions from the positive ideal solution (PIS) and of the distance functions from the negative ideal solution (NIS). Thereafter a fuzzy goal programming model is adopted to obtain compromise optimal solution of BL-NFMODM problems. The proposed approach avoids the decision deadlock situations in decision making process and possibility of rejecting the solution again and again by lower level decision makers. The presented TOPSIS technique for BL-NFMODM problems is a new fuzzy extension form of TOPSIS approach suggested by Baky and Abo-Sinna (2013) (Applied Mathematical Modelling, 37, 1004-1015, 2013) which dealt with bi -level multi-objective decision making (BL-MODM) problems. Also, an algorithm is presented of the new fuzzy TOPSIS approach for solving BL-NFMODM problems. Finally, an illustrative numerical example is given to demonstrate the approach

An Interactive Dynamic Fuzzy Goal Programming for Bi-level Multiobjective Linear Fractional Programming Problems.

This paper presents an interactive dynamic fuzzy goal programming (DFGP) approach for solving bi-level multiobjective linear fractional programming (BL MOLFP) problems with the characteristics of dynamic programming (DP). In the proposed approach, the membership function of the objective goals of a problem with fuzzy aspiration levels are defined first as the membership function for vector of fuzzy goals of the decision variables controlled by first–level decision maker are developed first in the model formulation of the problem. The method of variable change, on the under and over deviational variables of the membership goals associated with the fuzzy goals of the model, is introduced to solve the problem efficiently by using linear goal programming (LGP) methodology. Then, under the framework of preemptive priority based GP, a multi  stage DP model of the problem is used for achievement of the highest degree (unity) of each of the membership functions. In the decision process, the goal satisficing philosophy of GP is used recursively to arrive at the most satisfactory solution and the suggested algorithm to simplify the solution procedure by DP at each stage is proposed. This paper is considered as an extension work of Mahmoud A. Abo-Sinna and Ibrahim A. Baky (2010) by using dynamic approach. Finally, this approach is illustrated by a given numerical example

The Relation between Serum C-peptide Levels and Diabetic Retinopathy in Type 1 Diabetic Patients in an Egyptian population: An observational retrospective study The Relation between Serum C-peptide Levels and Diabetic Retinopathy in Type 1 Diabetic Patien

Abstract: Objective: The aim of the study is to confirm the relationship between low serum C-peptide levels and microvascular diabetic complication, especially diabetic retinopathy in Type 1 diabetics in the Egyptian population. Research Design and Methods,20 type 1 Egyptian diabetic patients (9 males and 11 females) were selected and included, matching demographic criteria (average age of 18 years, range 14 -22) and all were diagnosed having diabetes for about 5 years duration (range 4.7 -6.2). All recruited patients were followed during the 5 years by regular follow-up visits, a visit every 4 months (3 visits per year). Serum C-peptide and Fundus Examination were estimated twice, at year 1 (recruitment period) and at year 5 at the end of the study. Results: At the end of our retrospective observational study period (5years) and among the 20 followed patients, 3 patients (15%) -all females -developed moderate NPDR changes, all 3 subjects had very low undetectable serum C-peptide levels (0.01-0.15 ng/ml) (p<0.01)5 patients (25 %) -2 males and 3 females -developed mild NPDR changes, all 5 subjects had a low serum C-peptide level average 0.2 ng/ml (range 0.15 -0.3) (p<0.01).No diabetic retinopathy changes could be detected by fundus examination in the remaining 12 patients (60%) at the end of the study period. All 12 subjects had an average serum C-peptide level of 0.4 ng/ml (range 0.2 -0.7). Average HbA1c level among all patients, was 7.3% (range 6.5-7.8%). It did not correlate much with the incidence of DR and it was not statistically significant. (p<0.5).Conclusion: Diabetic retinopathy is a serious disabling microvascular diabetes complication. Early detection plays a major role for its prevention and prognosis. C-peptide levels could be a valuable diagnostic tool for the prediction of this diabetes complication and deserves more awareness among the healthcare providers for the benefit of our patients

Synthesis, antitumor and antimicrobial activity of some new 6-methyl-3-phenyl-4(3<i>H</i>)-quinazolinone analogues: <i>in silico</i> studies

<p>Some new derivatives of substituted-4(3<i>H</i>)-quinazolinones were synthesized and evaluated for their <i>in vitro</i> antitumor and antimicrobial activities. The results of this study demonstrated that compound <b>5</b> yielded selective activities toward NSC Lung Cancer EKVX cell line, Colon Cancer HCT-15 cell line and Breast Cancer MDA-MB-231/ATCC cell line, while NSC Lung Cancer EKVX cell line and CNS Cancer SF-295 cell line were sensitive to compound <b>8</b>. Additionally, compounds <b>12</b> and <b>13</b> showed moderate effectiveness toward numerous cell lines belonging to different tumor subpanels. On the other hand, the results of antimicrobial screening revealed that compounds <b>1</b>, <b>9</b> and <b>14</b> are the most active against <i>Staphylococcus aureus</i> ATCC 29213 with minimum inhibitory concentration (MIC) of 16, 32 and 32 μg/mL respectively, while compound <b>14</b> possessed antimicrobial activities against all tested strains with the lowest MIC compared with other tested compounds. <i>In silico</i> study, ADME-Tox prediction and molecular docking methodology were used to study the antitumor activity and to identify the structural features required for antitumor activity.</p