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Fuzzy parameterized fuzzy soft topology with applications
Muhammad Riaz,Masooma Raza Hashmi 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.5
In this paper, we study the concept of fuzzifying soft set called fuzzy parameterized fuzzy soft sets (FPFS-sets) and some results which holds in crisp set theory but does not hold in FPFS-set theory. We study FPFS-topology on FPFS-sets. We introduce closure, interior, frontier and exterior in the context of FPFS-topological spaces. We also discuss some properties of quasi-coincidence and Q-neighborhood for FPFS-sets. Furthermore, we present an application of FPFS-topology to find the aggregate of every FPFS-open set in FPFS-topology by using some algorithms for decision-making.
Khokher, Samina,Qureshi, Muhammad Usman,Riaz, Masooma,Akhtar, Naseem,Saleem, Afaf Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.2
Breast cancer is the most frequent cancer of women worldwide, with considerable geographic and racial/ethnic variation. Data are generally derived from population based cancer registries in the developed countries but hospital data are the most reliable source in the developing countries. Ten years data from 1st Jan 2000 to 31st Dec 2009 of a cancer hospital in Pakistan were here analyzed by descriptive statistics to evaluate the clinicopathologic profile of local breast cancer patients. Among 28,740 cancer patients, 6,718 were registered as breast cancer. The female to male ratio was 100:2. Breast cancer accounted for 23% of all and 41% of female cancers. Some 46% were residents of Lahore, with a mean age of $47{\pm}12$ years. Less than 1% were at Stage 0 and 10%, 32%, 35% and 23% were at Stage I, II, III and IV respectively. Histopathology was unknown in 4% while 91%, 2% and 1% had invasive ductal carcinoma (IDC), invasive lobular carcinoma (ILC) and mucinous carcinoma respectively. Rare carcinomas accounted for the rest. Tumor grade 1, 2 and 3 was 11%, 55% and 34% among the known. Profile of breast cancer patients in Pakistan follows a pattern similar to that of other developing countries with earlier peak age and advanced disease stage at presentation. The male breast cancer accounts for higher proportion in the local population. Local women have higher frequency of IDC and lower frequency of ILC and DCIS, owing probably to a different risk profile. Use of hospital information systems and establishment of population based cancer registry is required to have accurate and detailed local data. Promotion of breast health awareness and better health care system is required to decrease the burden of advanced disease.
Masood, Khalid,Masood, Andleeb,Zafar, Junaid,Shahid, Abubaker,Kamran, Mujahid,Murad, Sohail,Masood, Misbah,Alluddin, Zafar,Riaz, Masooma,Akhter, Naseem,Ahmad, Munir,Ahmad, Fayyaz,Akhtar, Javaid,Naeem, Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.13
Background: The Pakistan Atomic Energy Commission Cancer Registry (PAECCR) program has made availability of a common cancer incidence database possible in Pakistan. The cancer incidence data from nuclear medicine and oncology institutes were gathered and presented. Materials and Methods: The cancer incidence data for the last 30 years (1984-2014) are included to describe a data set of male and female patients. The data analysis concerning occurrence, trends of common cancers in male and female patients, stage-wise distribution, and mortality/follow-up cases is also incorporated for the last 10 years (2004-2014). Results: The total population of provincial capital Lahore is 9,800,000. The total number of cancer cases was 80,390 (males 32,156, females 48,134). The crude incidence rates in PAECCR areas were 580.8/$10^5$ during 2010 to 885.4/$10^5$ in 2014 (males 354.1/$10^5$, females 530.1/$10^5$). The cancer incidence rates for head and neck (15.70%), brain tumors (10.5%), and non-Hodgkin lymphoma (NHL, 9.53%) were found to be the highest in male patients, whereas breast cancer (46.7%), ovary tumors (6.80%), and cervix (6.31%) cancer incidence rates were observed to be the most common in female patients. The age range distribution of diagnosed and treated patients in conjunction with the percentage contribution of cancer patients from 15 different cities of Punjab province treated at the Institute of Nuclear Medicine and Oncology, Lahore are also included. Leukemia was found to be the most common cancer for the age group of 1-12 years. It has been identified that the maximum number of diagnosed cases were found in the age range of 51-60 years for males and 41-50 years for female cancer patients. Conclusions: Overall cancer incidence of the thirty years demonstrated that head and neck and breast cancers in males and in females respectively are the most common cancers in Punjab province in Pakistan, at rates almost the highest in Asia, requiring especial attention. The incidence of brain, NHL, and prostate cancers among males and ovarian and cervix cancers among females have increased rapidly. These data from a major population of Punjab province should be helpful for implementation of appropriate planning, prevention and cancer control measures and for determination of risk factors within the country.