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      • KCI등재

        CHROMATIC NUMBER OF BIPOLAR FUZZY GRAPHS

        TAHMASBPOUR, A.,BORZOOEI, R.A. The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.1

        In this paper, two different approaches to chromatic number of a bipolar fuzzy graph are introduced. The first approach is based on the α-cuts of a bipolar fuzzy graph and the second approach is based on the definition of Eslahchi and Onagh for chromatic number of a fuzzy graph. Finally, the bipolar fuzzy vertex chromatic number and the edge chromatic number of a complete bipolar fuzzy graph, characterized.

      • KCI등재

        Chromatic Number of Bipolar Fuzzy Graphs

        Atena Tahmasbpour,Rajab Ali Borzooei 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.1

        In this paper, two different approaches to chromatic number of a bipolar fuzzy graph are introduced. The first approach is based on the $\alpha$-cuts of a bipolar fuzzy graph and the second approach is based on the definition of Eslahchi and Onagh for chromatic number of a fuzzy graph. Finally, the bipolar fuzzy vertex chromatic number and the edge chromatic number of a complete bipolar fuzzy graph, characterized.

      • Predictive Role of Tumor Size in Breast Cancer with Axillary Lymph Node Involvement - Can Size of Primary Tumor be used to Omit an Unnecessary Axillary Lymph Node Dissection?

        Orang, Elahe,Marzony, Eisa Tahmasbpour,Afsharfard, Aboulfazl Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.2

        Background: Breast cancer is the most common cancer among women worldwide. The aim of this study was to investigate the relationship between tumor size and axillary lymph node involvement (ALNI) in patients with invasive lesions, to find the best candidates for a full axillary dissection. Additionally, we evaluated the association between tumor size and invasive behavior. The study was based on data from 789 patients with histopathologically proven invasive breast cancer diagnosed in Shohada University hospital in Tehran, Iran (1993-2009). Cinical and histopathological characteristics of tumors were collected. Patients were divided into 6 groups according to primary tumor size: group I ($0.1-{\leq}1cm$), II ($1.1-{\leq}2cm$), III ($2.1-{\leq}3cm$), IV ($3.1-{\leq}4cm$), V ($4.1-{\leq}5cm$) and VI (>5cm). The mean(${\pm}SD$) size of primary tumor at the time of diagnosis was $3.59{\pm}2.69$ cm that gradually declined during the course of study. There was a significant correlation between tumor size and ALNI (p<0.001). A significant positive correlation between primary tumor size and involvement of surrounding tissue was also found (p<0.001). The mean number of LNI in group VI was significantly higher than other groups (p<0.05). We observed more involvement of lymph nodes, blood vessels, skin and areola-nipple tissue with increase in tumor size. We found 15.3% overall incidence of ALNI in tumors ${\leq}2cm$, indicating the need for more investigation to omit full axillary lymph node dissection with an acceptable risk for tumors below this diameter. While in patients with tumors ${\geq}2cm$, 84.3% of them had nodal metastases, so the best management for this group would be a full ALND. Tumor size is a significant predictor of ALNM and involvement of surrounding tissue, so that an exact estimation of the size of primary tumor is necessary prior to surgery to make the best decision for management of patients with invasive breast cancer.

      • Trends in Epidemiology, Clinical and Histopathological Characteristics of Breast Cancer in Iran: Results of a 17 Year Study

        Afsharfard, Aboulfazl,Mozaffar, Mohammad,Orang, Elahe,Tahmasbpour, Eisa Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.11

        Background: Breast cancer (BC) is the top cancer among women worldwide and the most frequent malignancy among Iranian women over the past few decades. The increasing trend and high mortality rate of BC in the developing world necessitates studies concentrating on its characteristics in countries in Asia. The current study focused on clinical and histopathological features of BC among Iranian females. Materials and Methods: This retrospective study involved 714 Iranian patients with histopathologically proven BC undergoing resection of primary tumours and axillary clearance. Demographic, clinical and histopathological data were obtained and studied between ten year age groups (${\leq}40$ years, 41-50 years, 51-60 years, 61-70 years, and ${\leq}71$ years) in four chronologic phases from 1994-2009. Results: Mean age of patients was $49.4{\pm}13.1$ years. Most of cases (33.2%) were in 41-50 group. Mean size of primary tumors was $3.94{\pm}2.47$ cm and 87.1% of cases had infiltrative ductal carcinoma. Modified radical mastectomy was the most common method of surgery carried out (48.8%). Some 57.1% of tumors were in pT2 and tumor size decreased significantly during the period (p<0.05). The most common BC stage was llla (27%). Lower BC stages (0 and 1) constituted 13.9% of the diagnosed tumors. Our series of patients aged ${\leq}40$ had larger tumors (mean $4.73{\pm}3.02$ cm) compared to older age groups (p=0.003). Lower stages (0 and I) were more frequent among the oldest patients while nearly 50% of patients aged ${\leq}40$ had tumor stage III. We also observed a significant decreasing trend in the mean LN count (p<0.05) and blood vessel invasion (p=0.023) from younger to older age groups. Conclusions: More aggressive disease for younger age groups, earlier peak incidence age and high rate of advanced BC at the time of diagnosis among Iranian women, were the main findings of this study.

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