Consistency measurement using the artificial neural network of the results obtained with fuzzy topsis method for the diagnosis of prostate cancer

In recent years great attention has been paid to studies on artificial intelligence since it can be applied easily to several areas like medical diagnosis, engineering and economics, among others. In this paper we present an example in medicine which aims to diagnose the patients with high prostate cancer risk using a multi-criteria decision making method.Our datas set is prostate specific antigen (PSA), free prostate specific antigen (fPSA), prostate volume (PV) and age factors of 78 patients from Necmettin Erbakan University Meram Medicine Faculty. An artificial neural network related to the consistency of convergence coefficients calculated by the Fuzzy TOPSIS method [32] is established.Thus, we understand the accuracy of the results from the Fuzzy TOPSIS method.Publisher's Versio

Soft Covering Based Rough Sets and Their Application

Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty

Soft sets and multicriteria decision making methods

Bu çalışma, yedi bölümden oluşmaktadır. Birinci bölümde; tezde kullanılan kavramların literatür bilgileri ve ikinci bölümde; belirsizlik için önerilen fuzzy küme, rough küme, soft küme teorileri ile soft topolojik uzay kavramı ve bunların bazı özellikleri verilmiştir. Üçüncü bölümde; soft topolojik uzayda soft komşuluğun bazı özellikleri ve soft süzgeç kavramı ile temel özellikleri çalışılmıştır. Dördüncü bölümde; soft topolojik uzaylarda yeni soft küme çeşitleri tanımlanmış ve özellikleri incelenmiştir. Beşinci bölümde; yeni soft süreklilik kavramları verilmiş ve bunlarla soft sürekliliğin çeşitli dağılımları elde edilmiştir. Altıncı bölümde; zayıf soft yapı kavramı ve α(w ̃), π(w ̃), σ(w ̃), β(w ̃), ρ(w ̃), r(w ̃) yapıları incelenmiştir. Yedinci bölümde; çok kriterli karar verme yöntemleri kullanılarak tıp alanında uygulamalar verilmiştir.This study consists of seven sections. In the first section; literature knowledges of concepts used in thesis and in the second section; fuzzy set, rough set and soft set theories which proposed for vagueness and the concept of soft topological space and their some properties were given. In the third section; some soft neighbourhood properties in a soft topological space were studied and the concept of soft filter with its some properties were studied. In the fourth section; new types of soft sets in soft topological spaces were defined and their properties were investigated. In the fifth section; the concepts new different soft continuity were given and the decompositions of soft continuity were obtained by using them. In the sixth section; the concept of weak soft structure and the structures α(w ̃), π(w ̃), σ(w ̃), β(w ̃), ρ(w ̃), r(w ̃) were investigated. In the seventh section; using multicriteria decision making methods, applications in medicine were given

An Application of Multicriteria Group Decision Making by Soft Covering Based Rough Sets

WOS: 000355844100024In this work we define soft covering based rough set and present its related properties. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our datas are 56 patients from Selcuk University Meram Medicin

Soft Covering Based Rough Sets and Their Application

WOS: 000343581200001PubMed ID: 25295312Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selcuk University Meram Medicine Faculty

Fuzzy soft quasi separation axioms

In this work, we focus on fuzzy soft quasi separation axioms and give some new results about the concept of quasi coincidence with fuzzy soft sets defined in [17]. Further, we give relations between fuzzy soft quasi Tᵢ−(i = 0, 1, 2) spaces and fuzzy quasi Tᵢ−(i = 0, 1, 2) spaces.Publisher's Versio