Application of soft sets to diagnose the prostate cancer risk

Yüksel, Şaziye; Dizman, Tuğbahan Şimşekler; Yildizdan, Gülnur; Sert, Unal

doi:10.1186/1029-242x-2013-229

Cited by 97 publications

(54 citation statements)

References 20 publications

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“…Example 1 [12] Miss Zeynep and Mr. Ahmet are going to marry and they want to hire a wedding room. The soft set (F, E) describes the ''capacity of the wedding room''.…”

Section: Preliminariesmentioning

confidence: 99%

Soft filter

2014

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We have studied some soft neighbourhood properties in a soft topological space and introduced soft filters which are defined over an initial universe with a fixed set of parameters. We have set up a soft topology with the help of a soft filter. We also have introduced the concepts of the greatest lower bound and the least upper bound of the family of soft filters over an initial universe, soft filter subbase and soft filter base. Also, we have explored some basic properties of these concepts.

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“…Example 1 [12] Miss Zeynep and Mr. Ahmet are going to marry and they want to hire a wedding room. The soft set (F, E) describes the ''capacity of the wedding room''.…”

Section: Preliminariesmentioning

confidence: 99%

Soft filter

2014

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“…After Molodtsov, the research interests in the soft set theory have been growing rapidly, such as the algebraic structure [5,6], topology [7,8], normal parameter reduction [9], medical diagnosis [10], game theory [4], and decision making under uncertainties [11,12]. In addition, the study of hybrid models that are developed by combining the soft set theory with other mathematical tools, such as rough sets [13], fuzzy sets [14], and intuitionistic fuzzy sets [15], has also been an important research topic.…”

Section: Introductionmentioning

confidence: 99%

Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory

2019

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To address issues involving inconsistencies, this paper proposes a stochastic multi-criteria group decision making algorithm based on neutrosophic soft sets, which includes a pair of asymmetric functions: Truth-membership and false-membership, and an indeterminacy-membership function. For integrating an inherent stochastic, the algorithm expresses the weights of decision makers and parameter subjective weights by neutrosophic numbers instead of determinate values. Additionally, the algorithm is guided by the prospect theory, which incorporates psychological expectations of decision makers into decision making. To construct the prospect decision matrix, this research establishes a conflict degree measure of neutrosophic numbers and improves it to accommodate the stochastic multi-criteria group decision making. Moreover, we introduce the weighted average aggregation rule and weighted geometric aggregation rule of neutrosophic soft sets. Later, this study presents an algorithm for neutrosophic soft sets in the stochastic multi-criteria group decision making based on the prospect theory. Finally, we perform an illustrative example and a comparative analysis to prove the effectiveness and feasibility of the proposed algorithm.

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“…Kong et al presented two methods in decision making problems in fuzzy soft sets and constructed a new algorithm to solve the two problems [6]. In [12], it was introduced a soft expert system (SES) as a prediction system for prostate cancer by using the prostate specific antigen (PSA), prostate volume (PV) and age factors of patients based on fuzzy sets and soft sets. Yüksel et al defined soft covering based rough set and presented an example in medicine [13].…”

Section: Definition 13 [9]mentioning

confidence: 99%

An Application of Soft Set and Fuzzy Soft Set Theories to Stock Management

Taş¹,

Özgür²,

Demir³

2017

SDÜ Fen Bil Enst Der

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We give a new application of both notions of a soft set and of a fuzzy soft set to the effective management of stock-out situation. We construct a model to track the remaining raw materials in stock at the end of the first week (or first month) by using soft sets theory. Then we introduce an algorithm for factors influencing stock management using the notion of a fuzzy soft set. If we use these soft set and fuzzy soft set models at the same time, we can more accurately track the stock-out situations of raw materials. Esnek Küme ve Bulanık Esnek Küme Teorisinin Stok Yönetimine Bir UygulamasıAnahtar Kelimeler Esnek küme, Bulanık esnek küme, Stok yönetimi, Stok durumu Özet: Bu çalışmada stok durumlarının etkili birşekilde yönetimi probleminin çözümünde, esnek ve bulanık esnek kümelerin kullanılmasına ilişkin bir uygulama verilmiştir.İlk hafta (veya ilk ay) sonunda, esnek küme teorisinin kullanılması ile stokta bulunan hammaddelerin takibi için bir model oluşturulmuştur. Daha sonra bulanık esnek küme kavramı kullanılarak stok yönetimini etkileyen faktörler için bir algoritma verilmiştir. Bu esnek küme ve bulanık esnek küme modelleri aynı anda kullanılarak hammaddelerin stok durumlarının daha dogru takip edilebilmesi saglanmıştır.

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Application of soft sets to diagnose the prostate cancer risk

Cited by 97 publications

References 20 publications

Soft filter

Soft filter

Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory

An Application of Soft Set and Fuzzy Soft Set Theories to Stock Management

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