n-Valued Refined Neutrosophic Soft Sets and their Applications in Decision Making Problems and Medical Diagnosis

Alkhazaleh, Shawkat; Hazaymeh, Ayman

doi:10.1515/jaiscr-2018-0005

Cited by 19 publications

(11 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where m is the total number of indicators, H j is the entropy value of the j index. It can be seen from table 3 [56] that the improved (22) overcomes the problems of the (21), and the calculation results are reasonable, which can be applied in this study. Therefore, the entropy weights of all indices can be obtained.…”

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 87%

“…Equation (21) has the following problems: (1) if the entropy value H j of each index approaches 1, the slight difference between the entropy values will cause a great change in the entropy weight. For example, entropy value vector (0.999, 0.998, 0.997) obtained by calculation is (0.167, 0.333, 0.500).…”

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 99%

“…The entropy weights of the following three entropy vectors (0.9, 0.8, 0.7), (0.8, 0.6, 0.4) and (0.7, 0.4, 0.1) obtained by calculation are all (0.167, 0.333, 0.500). To solve the above problems, Zou et al [56] improved (21), as follows:…”

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 99%

“…Pisanu et al [4] and Ali et al [18] used crisp numbers and interval numbers to evaluate surgical performance. Ali et al [18] applied neutrosophic sets [19]- [21] in a recommender system for medical diagnosis. Zhai et al [22] applied probabilistic linguistic labels in a personal hospital selection recommender system.…”

Section: Literature Reviewmentioning

confidence: 99%

See 3 more Smart Citations

A Multi-Criteria 2-Tuple Linguistic Group Decision-Making Method Based on TODIM for Cholecystitis Treatments Selection

Xie

Cheng³

et al. 2019

IEEE Access

View full text Add to dashboard Cite

Cholecystitis is a common disease with a high incidence, and attracts much attention. It not only harms human health, but also affects quality of work and life. Therefore, the choice of a suitable treatment is badly important for patients. In this paper, a novel selection model of treatments for cholecystitis based on hybrid multiple-criteria group decision-making (MCGDM), which is helpful to choose the most suitable treatment in the case of asymmetric information between doctors and patients. Subsequently, subjective and objective criteria are comprehensively taken into account in the index system of the selection model for cholecystitis, and combines 2-tuple linguistic with quantitative data analysis. Besides, the evaluation information obtained from the patient's conditions, the treatment and the hospital's medical status, etc., including real numbers, interval numbers, and linguistic labels with multi-granularity, is more complete and real. And the 2-tuple linguistic model is used to unify the non-homogeneous information, so the treatment selection is accurate and reliable. Simultaneously, for the unknown index and criteria weight, the improved entropy weight method and the BWM (best-worst-method) are utilized to figure out the index weight and criteria weight, respectively. Further, TODIM (an acronym in Portuguese for interactive and multicriteria decision-making model) method based on the prospect theory is applied to solve the prioritization of cholecystitis treatments, and give full consideration to the decision maker of risk aversion. Eventually, an empirical study of treatment selection for cholecystitis is conducted. Sensitivity analysis and comparative analysis indicate that the proposed selection model of treatments for cholecystitis patients is reliable and effective. INDEX TERMS Cholecystitis, best-worst method (BWM), entropy weight method, 2-tuple linguistic, group decision-making (MCGDM), TODIM.

show abstract

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 87%

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 99%

Section: The Calculation Of Index Weight By Entropy-weight Methodsmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

See 2 more Smart Citations

A Multi-Criteria 2-Tuple Linguistic Group Decision-Making Method Based on TODIM for Cholecystitis Treatments Selection

Xie

Cheng³

et al. 2019

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Recently, Raja et al [21] developed a hope function in a bipolar neutrosophic set. We can find many applications of neutrosophic theory and development of multi criteria decision making problem in the literature surveys presented in [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. The development of fuzzy set theory continues [41][42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Disjunctive Representation of Triangular Bipolar Neutrosophic Numbers, De-Bipolarization Technique and Application in Multi-Criteria Decision-Making Problems

et al. 2019

View full text Add to dashboard Cite

This research paper adds to the theory of the generalized neutrosophic number from a distinctive frame of reference. It is universally known that the concept of a neutrosophic number is generally associated with and strongly related to the concept of positive, indeterminacy and non-belongingness membership functions. Currently, all membership functions always lie within the range of 0 to 1. However, we have generated bipolar concept in this paper where the membership contains both positive and negative parts within the range −1 to 0 and 0 to 1. We describe different structures of generalized triangular bipolar neutrosophic numbers, such as category-1, category-2, and category-3, in relation to the membership functions containing dependency or independency with each other. Researchers from different fields always want to observe the co-relationship and interdependence between fuzzy numbers and crisp numbers. In this platform, we also created the perception of de-bipolarization for a triangular bipolar rneutrosophic number with the help of well-known techniques so that any bipolar neutrosophic fuzzy number of any type can be smoothly converted into a real number instantly. Creating a problem using bipolar neutrosophic perception is a more reliable, accurate, and trustworthy method than others. In this paper, we have also taken into account a multi-criteria decision-making problem (MCDM) for different users in the bipolar neutrosophic domain.

show abstract

A State-of-the-Art Review of Neutrosophic Sets and Theory

Otay

Kahraman

2018

Fuzzy Multi-Criteria Decision-Making Using Neutrosophic Sets

View full text Add to dashboard Cite

n-Valued Refined Neutrosophic Soft Sets and their Applications in Decision Making Problems and Medical Diagnosis

Cited by 19 publications

References 10 publications

A Multi-Criteria 2-Tuple Linguistic Group Decision-Making Method Based on TODIM for Cholecystitis Treatments Selection

A Multi-Criteria 2-Tuple Linguistic Group Decision-Making Method Based on TODIM for Cholecystitis Treatments Selection

Disjunctive Representation of Triangular Bipolar Neutrosophic Numbers, De-Bipolarization Technique and Application in Multi-Criteria Decision-Making Problems

A State-of-the-Art Review of Neutrosophic Sets and Theory

Contact Info

Product

Resources

About