A Total Ordering on n-Valued Refined Neutrosophic Sets using Dictionary Ranking based on Total ordering on n - Valued Neutrosophic Tuplets [PDF]
The notion of fuzzy subsets was first introduced by Zadeh in 1965, and was later extended to intuitionistic fuzzy subsets by Atanassov in 1983. Since the inception of fuzzy set theory, we have encountered a number of generalizations of sets, one of which
V. Lakshmana Gomathi Nayagam +1 more
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A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers [PDF]
Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing impreciseness and incompleteness of a data.
Lakshmana Gomathi Nayagam Velu +2 more
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Numerous real-world applications can be solved using the broadly adopted notions of intuitionistic fuzzy sets, Pythagorean fuzzy sets, and q-rung orthopair fuzzy sets.
Mudassir Shams +3 more
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Extending Similarity Measures of Interval Type-2 Fuzzy Sets to General Type-2 Fuzzy Sets [PDF]
Similarity measures provide one of the core tools that enable reasoning about fuzzy sets. While many types of similarity measures exist for type-1 and interval type-2 fuzzy sets, there are very few similarity measures that enable the comparison of ...
Christian Wagner +4 more
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In this paper, we give multiple attribute decision-making (MADM) method where both the attribute value and attribute weight of alternatives are single-valued trapezoidal neutrosophic numbers (SVTN-numbers).
Emel Kırmızı Öztürk, İrfan Deli
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On Optimizing Neutrosophic Complex Programming Using Lexicographic Order [PDF]
Neutrosophic sets are considered as a generalization of the crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems.
Hamiden Abd El- Wahed Khalifaand +2 more
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On fuzzy-qualitative descriptions and entropy [PDF]
This paper models the assessments of a group of experts when evaluating different magnitudes, features or objects by using linguistic descriptions.
Agell Jané, Núria +3 more
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Parametric distance measure for trapezoidal intuitionistic fuzzy numbers and application in Multi-criteria group decision-making [PDF]
It is important to have an intuitionistic fuzzy set that allows each set element to have a membership value, a non-membership value, and a hesitancy value. This is because each element of the set can possess all three values. We will focus on one type of
Roohollah Abbasi Shureshjani +3 more
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Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making [PDF]
The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world.
Faruk Karaaslan
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Metric Properties between Trapezoidal Intuitionistic Fuzzy Numbers
Generally ranking of fuzzy number is more essential for convertion of fuzzy number to crisp one. In this manuscript, a new approach to rank the trapezoidal intuitionistic fuzzy numbers using cuts is established. The metric distance of the interval numbers is extended to trapezoidal intuitionistic fuzzy numbers.
Priyadharsini M*, Panneerselvam G
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