General IF-sets with triangular norms and their applications to group decision making

Authors:
Anna Pankowska;Maciej Wygralak
Affiliations:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland;Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
Venue:
Information Sciences: an International Journal
Year:
2006

Citing 10
Cited 28

Group decision making with a fuzzy linguistic majority

Fuzzy Sets and Systems
An axiomatic approach to scalar cardinalities of fuzzy sets

Fuzzy Sets and Systems
Intuitionistic fuzzy sets and L-fuzzy sets

Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets

Fuzzy Sets and Systems
Fuzzy linear programming technique for multiattribute group decision making in fuzzy environments

Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Informatics and computer science intelligent systems applications
A method based on linguistic aggregation operators for group decision making with linguistic preference relations

Information Sciences—Informatics and Computer Science: An International Journal
A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms

Fuzzy Sets and Systems
Discussion: Terminological difficulties in fuzzy set theory---The case of “Intuitionistic Fuzzy Sets”

Fuzzy Sets and Systems
On intuitionistic fuzzy compactness

Information Sciences: an International Journal
Intuitionistic Fuzzy Sets: Theory and Applications

Intuitionistic Fuzzy Sets: Theory and Applications

On the convex combination of TD and continuous triangular norms

Information Sciences: an International Journal
Arithmetic operators in interval-valued fuzzy set theory

Information Sciences: an International Journal
A fuzzy logic-based computational recognition-primed decision model

Information Sciences: an International Journal
The reduction of binary fuzzy relations and its applications

Information Sciences: an International Journal
On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition

Information Sciences: an International Journal
Extension of the LINMAP for multiattribute decision making under Atanassov's intuitionistic fuzzy environment

Fuzzy Optimization and Decision Making
Clustering algorithm for intuitionistic fuzzy sets

Information Sciences: an International Journal
Fractional programming methodology for multi-attribute group decision-making using IFS

Applied Soft Computing
Interval-valued fuzzy permutation method and experimental analysis on cardinal and ordinal evaluations

Journal of Computer and System Sciences
Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making

Expert Systems with Applications: An International Journal
Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations

Computers and Industrial Engineering
Measuring incompatibility between Atanassov's intuitionistic fuzzy sets

Information Sciences: an International Journal
An axiomatic model for measuring contradiction and N-contradiction between two AIFSs

Information Sciences: an International Journal
Intuitionistic fuzzy multiple attribute group decision making based on projection method

CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
On the problem of group decision making based on intuitionistic fuzzy judgment matrices

LSMS'07 Proceedings of the Life system modeling and simulation 2007 international conference on Bio-Inspired computational intelligence and applications
Linear programming method for MADM with interval-valued intuitionistic fuzzy sets

Expert Systems with Applications: An International Journal
An outcome-oriented approach to multicriteria decision analysis with intuitionistic fuzzy optimistic/pessimistic operators

Expert Systems with Applications: An International Journal
The optimal priority models of the intuitionistic fuzzy preference relation and their application in selecting industries with higher meteorological sensitivity

Expert Systems with Applications: An International Journal
Objective weights with intuitionistic fuzzy entropy measures and computational experiment analysis

Applied Soft Computing
Propagating and aggregating trust with uncertainty measure

ICCCI'11 Proceedings of the Third international conference on Computational collective intelligence: technologies and applications - Volume Part I
The relationship between similarity measure and entropy of intuitionistic fuzzy sets

Information Sciences: an International Journal
Transformation of bipolar fuzzy rough set models

Knowledge-Based Systems
A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition

Information Sciences: an International Journal
Supplier selection using a novel intuitionist fuzzy clustering approach

Applied Soft Computing
Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized λ-Shapley index

Knowledge-Based Systems
Modified cosine similarity measure between intuitionistic fuzzy sets

AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
Extension of the TOPSIS for Multi-Attribute Group Decision Making under Atanassov IFS Environments

International Journal of Fuzzy System Applications
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

Quantified Score

Hi-index	0.08

Visualization

Abstract

A concept of general IF-sets, i.e. ''intuitionistic'' fuzzy sets according to Atanassov, with triangular norm-based hesitation degrees is introduced and developed. That concept is used to construct flexible algorithms of group decision making which involve relative scalar cardinalities defined by means of generalized sigma counts of fuzzy sets. Two cases of group decisions, based on individual or social fuzzy preference relations, are considered.