scholarly journals Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Anas Al-Masarwah ◽  
Abd Ghafur Ahmad ◽  
G. Muhiuddin ◽  
D. Al-Kadi
Keyword(s):  
Fuzzy Sets ◽  
Characterization Theorems ◽  
New Framework

This study focuses on combining the theories of m -polar fuzzy sets over BCK -algebras and establishing a new framework of m -polar fuzzy BCK -algebras. In this paper, we define the idea of m -polar fuzzy positive implicative ideals in BCK -algebras and investigate some related properties. Then, we introduce the concepts of m -polar ∈ , ∈ ∨ q -fuzzy positive implicative ideals and m -polar ∈ ¯ , ∈ ¯ ∨ q ¯ -fuzzy positive implicative ideals in BCK -algebras as a generalization of m -polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered.

scholarly journals q-Rung Orthopair Fuzzy Hypergraphs with Applications

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 260 ◽  
Author(s):  
Anam Luqman ◽  
Muhammad Akram ◽  
Ahmad N. Al-Kenani
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Research Study ◽  
Uncertain Data ◽  
Intuitionistic Fuzzy Sets ◽  
Uncertain Information ◽  
Pythagorean Fuzzy Sets ◽  
Proposed Model ◽  
Fuzzy Hypergraphs ◽  
New Framework

The concept of q-rung orthopair fuzzy sets generalizes the notions of intuitionistic fuzzy sets and Pythagorean fuzzy sets to describe complicated uncertain information more effectively. Their most dominant attribute is that the sum of the q th power of the truth-membership and the q th power of the falsity-membership must be equal to or less than one, so they can broaden the space of uncertain data. This set can adjust the range of indication of decision data by changing the parameter q, q ≥ 1 . In this research study, we design a new framework for handling uncertain data by means of the combinative theory of q-rung orthopair fuzzy sets and hypergraphs. We define q-rung orthopair fuzzy hypergraphs to achieve the advantages of both theories. Further, we propose certain novel concepts, including adjacent levels of q-rung orthopair fuzzy hypergraphs, ( α , β ) -level hypergraphs, transversals, and minimal transversals of q-rung orthopair fuzzy hypergraphs. We present a brief comparison of our proposed model with other existing theories. Moreover, we implement some interesting concepts of q-rung orthopair fuzzy hypergraphs for decision-making to prove the effectiveness of our proposed model.

Is It Time to Let Successful Aging Die? A New Framework for Understanding Human Development

2019 ◽  
Author(s):  
Lucas J. Hamilton ◽  
Michael T. Vale ◽  
Michelle L. Hughes ◽  
Paige M. Pasta ◽  
Katherine Judge
Keyword(s):  
Human Development ◽  
Successful Aging ◽  
New Framework
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