Granular Computing
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Robust decision making using intuitionistic fuzzy numbers
Granular Computing - Tập 2 - Trang 41-54 - 2016
Robustness is defined as a system’s ability to withstand under disturbances. In real-life applications, where problem parameters are often uncertain, incorporating robustness in decision making is important. In this study, we propose a robust decision making (RDM) approach using intuitionistic trapezoidal fuzzy number (ITrFN). Fuzzy linguistic quantifier (FLQ) is used in the proposed approach to c...... hiện toàn bộ
Domination in Pythagorean fuzzy graphs
Granular Computing - Tập 8 - Trang 959-966 - 2023
Pythagorean fuzzy set theory is much more flexible to deal with obscure and uncertain knowledge comparative to fuzzy set theory. The principal aim of this article is to expand the meanings of domination and cobondage for Pythagorean fuzzy graphs by introducing the meanings of normal domination number, abnormal independent number, normal cobondage set, and normal cobondage number. Some relevant res...... hiện toàn bộ
Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis
Granular Computing - Tập 5 - Trang 169-184 - 2018
Cubic intuitionistic fuzzy set (IFS), handles the uncertainties by characterizing them into membership and non-membership interval in form of interval-valued IFS and further the degree of agreement, as well as disagreement corresponding to these intervals, is given in the form of an IFS. Under this environment, some series of distance measures based on Hamming, Euclidean, and Hausdorff metrics are...... hiện toàn bộ
Concept-wise granular computing for explainable artificial intelligence
Granular Computing - Tập 8 - Trang 827-838 - 2022
Artificial neural networks offer great classification performances, but their internal model works as a black box. This can prevent their outcomes to be employed in real-world decision-making processes, e.g., in smart manufacturing. To address this issue, the neural network should provide human-comprehensible explanations for their outcomes. This can be achieved by exploiting domain concepts and m...... hiện toàn bộ
Solving different practical granular problems under the same system of equations
Granular Computing - Tập 3 - Trang 39-48 - 2017
This paper contains discussion about the paper of Kreinovich (Granular Computing 1(3):171–179, 2016) in which the author suggests the thesis that in conditions of uncertainty “solving different practical problems we get different solutions of the same system of equations with the same granules”. Authors of the present paper are of the opinion that the above thesis is result of one-dimensional appr...... hiện toàn bộ
Fuzzy risk analysis using a new technique of ranking of generalized trapezoidal fuzzy numbers
Granular Computing - Tập 7 - Trang 127-140 - 2021
Ranking of generalized trapezoidal fuzzy number is very important to order the fuzzy numbers. In this propose paper a new approach has been introduced for ranking of generalized trapezoidal fuzzy numbers. In this new technique the mean position, area and perimeter of the fuzzy numbers has been considered as major factors. Some properties corresponding to the new proposed method have been discussed...... hiện toàn bộ
A pythagorean fuzzy algorithm embedded with a new correlation measure and its application in diagnostic processes
Granular Computing - - 2021
An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability
Granular Computing - Tập 9 - Trang 1-29 - 2024
Pythagorean fuzzy fractional calculus provides a strong framework for modeling and analyzing complicated systems with uncertainty and indeterminacy. The primary focus of this article is to investigate the analytical solution of the Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy Fourier transform under generalized Hukuhara Caputo fractional differentiability. To thi...... hiện toàn bộ
Multi-criteria decision making based on novel fuzzy knowledge measures
Granular Computing - Tập 8 - Trang 253-270 - 2022
Knowledge is related to the information considered in a particularly useful context under consideration. A knowledge measure as a dual of fuzzy entropy quantifies the knowledge associated with a fuzzy set. In this paper, a new entropy-based fuzzy knowledge measure is proposed and validated. The performance of the proposed knowledge measure is explained using two numerical examples. Furthermore, a ...... hiện toàn bộ
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