Intuitionistic fuzzy sets

Authors:
Krassimir T. Atanassov
Affiliations:
-
Venue:
Fuzzy Sets and Systems
Year:
1986

Citing 0
Cited 354

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Cuts of intuitionistic fuzzy sets respecting fuzzy connectives

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Atanassov's intuitionistic fuzzy probability and Markov chains

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Intuitionistic fuzzy system for fingerprints authentication

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Inclusion and subsethood measure for interval-valued fuzzy sets and for continuous type-2 fuzzy sets

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Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets

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New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets

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Residual implications on the set of discrete fuzzy numbers

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Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information

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Fuzzy decision making based on fuzzy propositional logic with three kinds of negation

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Application of the fuzzy set with three kinds of negation FScom in the stock investment

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Three kinds of negation of fuzzy knowledge and their base of logic

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Dynamic web service selection group decision-making method based on hybrid QoS

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A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making

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A spectral clustering algorithm based on intuitionistic fuzzy information

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Short Communication: IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making

Knowledge-Based Systems
Similarity and (α,β)-equalities of intuitionistic fuzzy choice functions based on triangular norms

Knowledge-Based Systems
A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition

Information Sciences: an International Journal
Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms

Information Sciences: an International Journal
Group decision making approach based on interval-valued intuitionistic linguistic geometric aggregation operators

International Journal of Intelligent Information and Database Systems
Methodologies for recognition of old Slavic Cyrillic characters

International Journal of Computational Intelligence Studies
Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making

Expert Systems with Applications: An International Journal
Consensus-based decision support for multicriteria group decision making

Computers and Industrial Engineering
Intuitionistic fuzzy joint probabilistic data association filter and its application to multitarget tracking

Signal Processing
A complete ranking of incomplete interval information

Expert Systems with Applications: An International Journal
Distance and similarity measures for higher order hesitant fuzzy sets

Knowledge-Based Systems
K-operators: An approach to the generation of interval-valued fuzzy implications from fuzzy implications and vice versa

Information Sciences: an International Journal
An ordinal approach to computing with words and the preference-aversion model

Information Sciences: an International Journal
Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making

Information Sciences: an International Journal
Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making

Expert Systems with Applications: An International Journal
A peer IF-TOPSIS based decision support system for packaging machine selection

Expert Systems with Applications: An International Journal
Induced generalized hesitant fuzzy operators and their application to multiple attribute group decision making

Computers and Industrial Engineering
Intuitionistic fuzzy optimization technique for solving multi-objective reliability optimization problems in interval environment

Expert Systems with Applications: An International Journal
Interval-valued intuitionistic fuzzy QUALIFLEX method with a likelihood-based comparison approach for multiple criteria decision analysis

Information Sciences: an International Journal
Fuzzy nearest neighbor algorithms: Taxonomy, experimental analysis and prospects

Information Sciences: an International Journal
A fuzzy multi-criteria group decision making method for individual research output evaluation with maximum consensus

Knowledge-Based Systems
Hesitation degree-based similarity measures for intuitionistic fuzzy sets

International Journal of Information and Communication Technology
Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment

Knowledge-Based Systems
Soft fuzzy rough sets and its application in decision making

Artificial Intelligence Review
Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators

Applied Soft Computing
Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations. Application to decision making

Knowledge-Based Systems
A social appraisal mechanism for online purchase decision support in the micro-blogosphere

Decision Support Systems
Fuzzy and Intuitionistic Fuzzy Turing Machines

Fundamenta Informaticae
Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Models for hesitant interval-valued fuzzy multiple attribute decision making based on the correlation coefficient with incomplete weight information

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
On fuzzy bipolar soft sets, their algebraic structures and applications

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Some results for dual hesitant fuzzy sets

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A study on intuitionistic fuzzy sets in Γ-semihypergroups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Two Atanassov intuitionistic fuzzy weighted aggregation operators based on a novel weighted method and their application

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Uncertainty measure of Atanassov's intuitionistic fuzzy T equivalence information systems

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Models for multiple attribute decision making based on the Einstein correlated aggregation operators with interval-valued intuitionistic fuzzy information

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Topological relation analysis between high-order fuzzy regions based on fuzzy logic

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Atanassov's intuitionistic fuzzy grade of a sequence of fuzzy sets and join spaces determined by a hypergraph

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Similarity measures for intuitionistic fuzzy sets: State of the art

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A valuation-based method for ranking the intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Possibility mean and variance based method for multi-attribute decision making with triangular intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Mathematical programming methodology for multiattribute decision making using interval-valued intuitionistic fuzzy sets

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Risk analysis of combustion system using vague ranking method

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Induced hesitant interval-valued fuzzy Einstein aggregation operators and their application to multiple attribute decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Intuitionistic fuzzy soft set theory and its decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Possibility mean, variance and covariance of triangular intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Fuzzy number intuitionistic fuzzy prioritized operators and their application to multiple attribute decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Interval-valued intuitionistic fuzzy hybrid weighted averaging operator based on Einstein operation and its application to decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Vague linguistic matrix game approach for multi-criteria decision making with uncertain weights

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Atanassov's intuitionistic fuzzy Γ --hyperideals of Γ --semihypergroups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Decision making based on generalized geometric operator under interval-valued intuitionistic fuzzy environment

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A new method for measuring fuzziness of vague set or intuitionistic fuzzy set

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
On filters of R0-algebras connected to intuitionistic fuzzy sets

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
r,s-fuzzy minimal structures and r,s-fuzzy minimal spaces

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Atanassov intuitionistic fuzzy sets generating maps

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Extended VIKOR method based on cross-entropy for interval-valued intuitionistic fuzzy multiple criteria group decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Approaches to hesitant fuzzy multiple attribute decision making with incomplete weight information

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
An enhanced grey relational analysis method for interval-valued intuitionistic fuzzy multiattribute decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Some geometric Choquet aggregation operators using Einstein operations under intuitionistic fuzzy environment

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Some completeness results in terms of infinite series and quotient spaces in intuitionistic fuzzy n-normed linear spaces

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A new preference scale of intuitionistic fuzzy analytic hierarchy process in multi-criteria decision making problems

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Hesitant triangular fuzzy information aggregation in multiple attribute decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
On similarity and entropy of neutrosophic sets

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Parameterized intuitionistic fuzzy trapezoidal operators and their application to multiple attribute group decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Atanassov's intuitionistic linguistic ordered weighted averaging distance operator and its application to decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
An algorithm for extracting intuitionistic fuzzy shortest path in a graph

Applied Computational Intelligence and Soft Computing

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Abstract

A definition of the concept 'intuitionistic fuzzy set' (IFS) is given, the latter being a generalization of the concept 'fuzzy set' and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.