New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set [PDF]
Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a useful tool allowing several possible degrees of membership of an element to a set.
Florentin Smarandache +3 more
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Generalized Fuzzy Additive Operators on Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets and Their Application [PDF]
This paper unifies the classical intuitionistic fuzzy additive and multiplicative operations and proposes a generalized intuitionistic fuzzy additive operation and a generalized interval-valued intuitionistic fuzzy additive operation. In particular, it was proved that the classical additive and multiplicative operations on intuitionistic fuzzy sets ...
Fangwei Zhang +7 more
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Interval-Valued Intuitionistic Fuzzy Derivative and Differential Operations
The interval-valued intuitionistic fuzzy set (IVIFS) generalizes Atanassov’s intuitionistic fuzzy set (A-IFS) with the membership and non-membership degrees being intervals instead of real numbers, so it can contain more information.
Hua Zhao, Zeshui Xu, Zeqing Yao
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Interval Neutrosophic Sets and Logic: Theory and Applications in Computing [PDF]
This book presents the advancements and applications of neutrosophics. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and ...
Wang, Haibin +3 more
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Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model
In the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity.
Jiekun Song +4 more
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Fuzzy sets introduced to overthrow the uncertainty of an object. Interval valued intuitionistic fuzzy sets in topological structure space is an extension of fuzzy sets.
S. Parthiban +7 more
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A note on measuring fuzziness for intuitionistic and interval-valued fuzzy sets [PDF]
We first review the concept of fuzziness provided by DeLuca and Termini, and the view of fuzziness as related to the lack of distinction between a set and its negation. We then suggest a measure of fuzziness for intuitionistic fuzzy sets. We show that this measure satisfies the required conditions for an intuitionistic measure of fuzziness.
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A random set and prototype theory interpretation of intuitionistic fuzzy sets
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Interval Valued Intuitionistic Fuzzy Line Graphs
Objectives In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results ...
V. N. Srinivasa Rao Repalle +2 more
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A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets [PDF]
Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.
Lee-Chae Jang +2 more
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