A Decision-making Problem as an Applications of Intuitionistic Fuzzy Set

Aggarwal, Hemlata; Arora, H. D; Kumar, Vijay

doi:10.35940/ijeat.a1053.129219

Cited by 11 publications

(3 citation statements)

References 3 publications

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“…(ii) Intuitionistic fuzzy set [35]: An intuitionistic fuzzy set Ầ of non-empty set X can be defined as Ầ = {(𝑥, 𝜇Ầ (𝑥), 𝜈Ầ (𝑥)): 𝑥 ∈ 𝑋}, where 𝜇Ầ (𝑥): 𝑋 → [0,1], membership function of the intuitionistic fuzzy set Ầ and 𝜇Ầ (𝑥) is the membership value of the element 𝑥. 𝜈Ầ (𝑥): 𝑋 → [0,1], non-membership function of the intuitionistic fuzzy set Ầ and 𝜈Ầ (𝑥) is the non-membership value of the element 𝑥. 0 ≤ 𝜇Ầ (𝑥) + 𝜈Ầ (𝑥) ≤ 1 for all 𝑥 ∈ 𝑋.…”

Section: Preliminaries (I) Fuzzy Set [35]: a Fuzzy Setmentioning

confidence: 99%

Utilising Neutrosophic Logic in the Design of a Smart Air-Conditioning System

Karunakaran

Bhumireddy

2022

Applied Sciences

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Air conditioners, which have become the most widely used cooling system, have already been employed in both household and commercial environments. Automation in air conditioning is a very complex and demanding task today. When a sensor in an automatic human detection air conditioner detects the motion and activity of people, it will automatically turn on and set the temperature accordingly. However, in situations in which there are no humans around or in which human presence is unstable for an extended period, energy and power are wasted. In this regard, a control system was created utilising a Neutrosophic logic controller to regulate the AC temperature to a specific level by reducing the compressor and fan speeds without considering other parameters. Since neutrosophic logic handles the truth, ambiguity, and untruth of people in a closed environment, a more intelligent air-conditioning system is created by the suggested approach. As a result, massive quantities of energy savings are achieved. To accomplish the desired outcome, a MATLAB simulation is applied.

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Section: Preliminaries (I) Fuzzy Set [35]: a Fuzzy Setmentioning

confidence: 99%

Utilising Neutrosophic Logic in the Design of a Smart Air-Conditioning System

Karunakaran

Bhumireddy

2022

Applied Sciences

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“…Similarly, in 2020, Ejegwa and Onyeke [8] tested the new method's applicability by conducting hypothetical medical diagnoses on a few patients and determined their respective diagnoses based on the correlation coefficient values between each patient and each disease. To establish a connection between the societies and the parameters in our study, Aggarwal et al [9] employ intuitionistic fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Arithmetic–Based Algorithm for Identifying Medical Conditions for Better Treatment

Paudel,

Upadhyay,

Baral

2023

Mikailalsys J. of Math. and Statistics

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Making the right medical decision is challenging work because, in our daily life, decision-making problems may have the components of membership and non-membership degrees with the possibility of hesitation. Since soft theory offers a theoretical framework for dealing with ambiguous, fuzzy, and ill-defined objects, it is a key development in the field of computer programming as well as other scientific disciplines. Intuitionistic fuzzy soft sets provide an effective tool for solving multiple attribute decision-making with intuitionistic fuzzy information. The most essential issue is how to derive the ranking of alternatives from the information quantified in terms of intuitional fuzzy values. This theory also has the potential to be used to solve such real-world problems. In this work, we explore how Sanchez's medical theory could be used in medical diagnosis and provide a fuzzy arithmetic-based algorithm for identifying medical conditions to address this.

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“…Several studies have been conducted to expand the IFS, including in aggregation operators [26], and correlation coefficient [17], to mention a few. In addition, many authors have applied the IFS to decision-making problems [1,13].…”

Section: Introductionmentioning

confidence: 99%

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

Yusoff,

Kilicman,

Pratama

et al. 2023

MJMS

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Circular intuitionistic fuzzy sets (CIFS) are a recent extension of intuitionistic fuzzy sets (IFS) that can handle imprecise membership values effectively. However, its representation is limited to the space under the intuitionistic fuzzy interpretation triangle (IFIT). To address this, a new generalization of CIFS called circular q-rung orthopair fuzzy sets (Cq-ROFS) is proposed, extending the IFIT to cover a larger space of imprecision. Several relations and operations, including algebraic operations for Cq-ROFS are proposed. In addition, modal operators and their properties are then investigated.

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A Decision-making Problem as an Applications of Intuitionistic Fuzzy Set

Cited by 11 publications

References 3 publications

Utilising Neutrosophic Logic in the Design of a Smart Air-Conditioning System

Utilising Neutrosophic Logic in the Design of a Smart Air-Conditioning System

Fuzzy Arithmetic–Based Algorithm for Identifying Medical Conditions for Better Treatment

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

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