Fuzzy Decision Making in Medical Diagnosis Using an Advanced Distance Measure on Intuitionistic Fuzzy Sets

Multi-Attribute Decision-Making Problem in Career Determination Using Single-Valued Neutrosophic Distance Measure

“…𝑅 1 (0.4, 0.6, 1) (0.5, 0.5, 0.9) (0.6, 0.4, 0.8) (0.7, 0.3, 0.7) (0.8, 0.2, 0.6) (0.9, 0.1, 0.5) (1, 0, 0.4) 𝑅 2 (0.8, 0.4, 0.1) (0.5, 0.6, 0.2) (1, 0.7, 0.8) (0.3, 0.2, 0.9) (0.6, 0.7, 0.8) (0.9, 1, 0) (0, 0, 1) 𝑅 3 (0.2, 0.1, 0) (0.3, 0.6, 0.7) (0.3, 0.2, 0.1) (0.7, 0.8, 1) (0, 0, 1) (0.6, 0.7, 0.3) (0.3, 0.2, 0.1) 𝑅 4 (0.6, 0.5, 0.2) (0.7, 0, 0) (0.5, 0.5, 0.5) (0.6, 0.5, 0.1) (0.8, 0.8, 0.8) (0.3, 0.7, 0.6) (0.7, 0.8, 0.1) 𝑅 5 (0.3, 0.3, 0.3) (0, 0, 1) (0.6, 0.5, 0.3) (0.4, 0.5, 0.6) (0.3, 0.2, 0.1) (0.2, 0.1, 0.1) (0.5, 0.6, 0.1) 𝐶 1 (0.4, 0.5, 1) (0.4, 0.5, 0.6) (0.8, 0.6, 0.1) (0.9, 0, 0) (0.1, 0.1, 0.1) 𝐶 2 (0.8, 0.1, 0.1) 0.6, 0.5, 0.5) (0.3, 0.2, 0.1) (0.8, 0.9, 1) (0, 0, 1) 𝐶 3 (1, 0, 0) (0.6, 0.4, 0.2) (0.5, 0.8, 0.9) (1, 0.3, 0.5) (0.3, 0.4, 0) 𝐶 4 (0.5, 0.6, 1) (0, 0, 0.3) (0, 0.3, 0.3) (0.6, 0.3, 0.1) (0.7, 0.8, 0.1) 𝐶 5 (0.6, 0.3, 0.1) (0.5, 0.3, 0.1) (0.7, 0.9, 0.3) (0.1, 0.6, 0) (0.5, 0.2, 0.1) 𝐶 6 (0, 0.7, 1) (0.5, 0.4, 0.2) (0.3, 0.2, 1) (0.5, 0.4, 0.1) (0.9, 0, 1) 𝐶 7 (0.8, 0.1, 0.3) (0.7, 0.5, 0.6) (0.8, 0.9, 0.1) (0.6, 0.7, 0.2) (0, 0, 1)…”

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In this paper, we introduce a distance measure on single-valued neutrosophic sets which is a generalization of intuitionistic fuzzy distance measure (Dutta and Goala 2018). This distance measure satisfies the axioms of metric (George F. Simmons 1963) on single-valued neutrosophic sets and shows that the difference of distance measure from unity is a similarity measure.

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“…This Atanassov's intuitionistic fuzzy set theory deviated into many application areas in the uncertainty situation by taking both membership degrees. Recently Dutta and Goala (2018) introduced intuitionistic fuzzy distance measure and gave its application in medical diagnosis. Szmidt and Kacprzyk (2000) also introduced distance measures on intuitionistic fuzzy sets and they (Szmidt and Kacprzyk 2001) applied further these in medical diagnosis as a real-life application of mankind.…”

Study of Fuzzy Distance Measure and Its Application to Medical Diagnosis

“…Luo and Zhao [19] gave the algorithms for pattern recognition and use it to solve medical diagnosis problems. Gupta and Tiwari [20] and Datta and Goala [21] proposed cosine similarity measure for intuitionistic and interval-valued intuitionistic fuzzy sets using an advanced distance measure on intuitionistic fuzzy sets.…”

Intuitionistic Neuro-Fuzzy Optimization in the Management of Medical Diagnosis

“…Eyoh, I. et al also introduced an intuitionistic fuzzy logic for regression problems that was of interval Type-2 fuzzy sets [30]. An advanced distance measurement technique on intuitionistic fuzzy set-in decision making was also studied [31]. Samuel, A.E.…”