Cubic m-polar fuzzy topology with multi-criteria group decision-making

Riaz, Muhammad; Akmal, Khadija; Almalki, Yahya; Alblowi, S. A.

doi:10.3934/math.2022721

Cited by 5 publications

(2 citation statements)

References 57 publications

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“…Olgun [31] expanded on this concept by introducing Pythagorean fuzzy topology. Topological structures on fuzzy soft sets [32] and cubic m-polar fuzzy sets [33] have robust applications in decision-making. Xu and Yager [34] and Xu [35] originated the notion of an intuitionistic fuzzy number (IFN) and their aggregation operators.…”

Section: Introductionmentioning

confidence: 99%

Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

Riaz

Akmal

Almalki

et al. 2022

Mathematical Problems in Engineering

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The concept of the cubic intuitionistic fuzzy set is an effective hybrid model for modeling uncertainties with an intuitionistic fuzzy set and an interval-valued intuitionistic fuzzy set, simultaneously. The primary objective of this study is to develop a topological structure on cubic intuitionistic fuzzy sets with P-order and R-order as well as to define some fundamental characteristics and significant results with illustrations. Taking advantage of topological data analysis with cubic intuitionistic information, novel multicriteria group decision-making methods are developed for an uncertain supply chain management. Algorithms 1 and 2 are proposed for extensions of the weighted product model and the choice value method towards a cubic intuitionistic fuzzy environment, respectively. A comparative analysis is also given to discuss the validity and advantages of the proposed techniques.

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Section: Introductionmentioning

confidence: 99%

Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

Riaz

Akmal

Almalki

et al. 2022

Mathematical Problems in Engineering

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“…The "linguistic Pythagorean fuzzy sets" (LSFSs) [7] can deal with decision maker's complicated evaluation values in "multi-attribute group decision making" (MAGDM) [6] because of linguistic terms to denote non-membership andmembership degrees. To improve the ability of "Linguistic spherical fuzzy sets" (LSFSs) in rendering uncertainties and fuzzy information, we generalized linguistic spherical fuzzy sets (LSFSs) to cubic linguistic spherical fuzzy set (CLSFSs) [13] and studied cubic linguistic spherical fuzzy sets (CLSFSs)-based "MAGDM" method. Firstly thebasic operational rules and definitions are investigated as well as comparison method and distance measure or Cubic linguistic spherical fuzzy sets (CLSFSs).…”

Section: Introductionmentioning

confidence: 99%

Power Hamy Mean Operators for managing Cubic Linguistic Spherical Fuzzy Sets and their Applications

Abbas,

Mumtaz,

Hussain

et al. 2022

VFAST trans. math.

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In modern social administrative economic activities, we are facing a considerable amount of multi-attribute group decision making problems. The methods and theory related to this method are very useful in the field of particular disciplines as well as in operational research, and a lot of achievements have been described. Obviously the real world is full of uncertainties and classical set theory cannot be used to describe different phenomena such as beauty, intelligence, height (tallness) and age etc. This thing leads mathematicians to develop the notion of fuzzy sets. Later Zadeh introduced the concept of membership and non-membership degree. Definitely human opinion about a phenomenon may be unidirectional or multi-directional, that’s why Atanossov proposed the concept of another advance type of fuzzy sets, which is known as intuitionistic fuzzy sets. His concept is based on a degree of membership and degree of non-membership with a exquisite that their sum must not exceed 1. In our work we introduced cubic linguistic spherical fuzzy sets. Then, we proposed the fundamental operation law for CLSFVs and a series of their average operators (AOs), such as the (cubic linguistic spherical fuzzy power average), (cubic linguistic spherical fuzzy power weighted average), (cubic linguistic spherical fuzzy power hamy mean) and (cubic linguistic spherical fuzzy power weighted hamy mean) operators, was developed by combining the power average and hamy mean operators in cubic linguistic spherical fuzzy environment. Also we described some specific desirable properties of all these operators. In addition, we suggested a new MAGDM method.

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Gas Cooled Graphite Moderated and Pressurized Water Reactor the Optimal Choice for Nuclear Power Plants based on a new Group Decision-Making Technique

Khalaf

sharmi

2023

Preprint

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The aim of this work is to introduce the novel concept of m-polar fuzzy soft set including various types of algorithms and their fundamental operations. We created a mathematical modeling to analyze operational rules and discuss the advantages, disadvantages and natural aspects of algorithms for six types of nuclear power plants. It has been analyzed that emerging trends and the benefits of algorithms are increasing step by step. The suggested modeling with m-polar fuzzy soft set is integrated into the fuzzy mean environment to analyze the effect of the correlation between decision factors on decision results. At the end, a numerical illustration is provided for selecting the best photo to demonstrate the use of generated technique and to exhibit its adequacy.

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Cubic m-polar fuzzy topology with multi-criteria group decision-making

Cited by 5 publications

References 57 publications

Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

Power Hamy Mean Operators for managing Cubic Linguistic Spherical Fuzzy Sets and their Applications

Gas Cooled Graphite Moderated and Pressurized Water Reactor the Optimal Choice for Nuclear Power Plants based on a new Group Decision-Making Technique

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