An axiomatically supported divergence measures for q‐rung orthopair fuzzy sets

2021 ◽  
Author(s):  
Muhammad Jabir Khan ◽  
José Carlos R. Alcantud ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Ahmad N. Al‐Kenani
Keyword(s):  
Fuzzy Sets ◽  
Divergence Measures

scholarly journals STUDY ON DIVERGENCE MEASURES FOR INTUITIONISTIC FUZZY SETS AND ITS APPLICATION IN MEDICAL DIAGNOSIS

2016 ◽  
Vol 6 (3) ◽  
pp. 772-789 ◽  
Author(s):  
Shikha Maheshwari ◽  
◽  
Amit Srivastava
Keyword(s):  
Fuzzy Sets ◽  
Medical Diagnosis ◽  
Intuitionistic Fuzzy Sets ◽  
Divergence Measures ◽  
Intuitionistic Fuzzy

Dissimilarity functions and divergence measures between fuzzy sets

2014 ◽  
Vol 288 ◽  
pp. 15-26 ◽  
Author(s):  
Yingfang Li ◽  
Keyun Qin ◽  
Xingxing He
Keyword(s):  
Fuzzy Sets ◽  
Divergence Measures

scholarly journals Unified Fuzzy Divergence Measures with Multi-Criteria Decision Making Problems for Sustainable Planning of an E-Waste Recycling Job Selection

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 90 ◽  
Author(s):  
Pratibha Rani ◽  
Kannan Govindan ◽  
Arunodaya Raj Mishra ◽  
Abbas Mardani ◽  
Melfi Alrasheedi ◽  
...  
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Waste Recycling ◽  
Multi Criteria Decision Making ◽  
Divergence Measure ◽  
Divergence Measures ◽  
Job Selection ◽  
Sustainable Planning ◽  
Control Decision ◽  
Fuzzy Divergence

In the literature of information theory and fuzzy set doctrine, there exist various prominent measures of divergence; each possesses its own merits, demerits, and disciplines of applications. Divergence measure is a tool to compute the discrimination between two objects. Particularly, the idea of divergence measure for fuzzy sets is significant since it has applications in several areas viz., process control, decision making, image segmentation, and pattern recognition. In this paper, some new fuzzy divergence measures, which are generalizations of probabilistic divergence measures are introduced. Next, we review two different generalizations of the following measures. Firstly, directed divergence (Kullback–Leibler or Jeffrey invariant) and secondly, Jensen difference divergence, based on these measures, we develop a class of unified divergence measures for fuzzy sets (FSs). Then, a method based on divergence measure for fuzzy sets (FSs) is proposed to evaluate the multi-criteria decision-making (MCDM) problems under the fuzzy atmosphere. Lastly, an illustrative example of the recycling job selection problem of sustainable planning of the e-waste is presented to demonstrate the reasonableness and usefulness of the developed method.

Divergence measures on hesitant fuzzy sets

2017 ◽  
Vol 33 (3) ◽  
pp. 1589-1601 ◽  
Author(s):  
Vladimír Kobza ◽  
Vladimír Janiš ◽  
Susana Montes
Keyword(s):  
Fuzzy Sets ◽  
Hesitant Fuzzy Sets ◽  
Divergence Measures

A novel VIKOR approach based on entropy and divergence measures of Pythagorean fuzzy sets to evaluate renewable energy technologies in India

2019 ◽  
Vol 238 ◽  
pp. 117936 ◽  
Author(s):  
Pratibha Rani ◽  
Arunodaya Raj Mishra ◽  
Kamal Raj Pardasani ◽  
Abbas Mardani ◽  
Huchang Liao ◽  
...  
Keyword(s):  
Renewable Energy ◽  
Fuzzy Sets ◽  
Pythagorean Fuzzy Sets ◽  
Renewable Energy Technologies ◽  
Divergence Measures ◽  
Energy Technologies

Divergence Measures for Intuitionistic Fuzzy Sets

2015 ◽  
Vol 23 (2) ◽  
pp. 444-456 ◽  
Author(s):  
Ignacio Montes ◽  
Nikhil R. Pal ◽  
Vladimir Janis ◽  
Susana Montes
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Divergence Measures ◽  
Intuitionistic Fuzzy

DIVERGENCE MEASURES AND AGGREGATION OPERATIONS

2000 ◽  
Vol 08 (06) ◽  
pp. 677-690 ◽  
Author(s):  
P. MIRANDA ◽  
E. TORRES ◽  
P. GIL
Keyword(s):  
Fuzzy Sets ◽  
Divergence Measures ◽  
Special Cases ◽  
Measures Of Fuzziness ◽  
Aggregation Operations

In this paper we study the relations between divergence measures of two fuzzy sets and other well-known functions, namely aggregation operations and measures of fuzziness. We will show that these functions can be related. Therefore, we study some consequences of these properties as an application; indeed, we obtain some special cases of divergence measures whenever the aggregation operation fulfils some properties. Another application is the translation of some properties of divergence measures to measures of fuzziness.

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