Kamal Kumar- Phd
- Professor (Assistant) at Amity University
Kamal Kumar
- Phd
- Professor (Assistant) at Amity University
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71
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Publications (71)
In complex and uncertain environment, Multi-attribute decision-making (MADM) remains a significant challenge, particularly when existing MADM techniques struggle to differentiate between the preference orders (POs) of the alternatives. To address this problem, this paper presents a novel technique for MADM within the context of \(p, q\)-quasirung o...
Health care waste generated by medical activities provides an urgent need for efficient management and disposal. Its diverse composition, including infectious materials and hazardous substances, demands specialized handling to reduce health and environmental risks. As a result, selecting the most suitable health care waste treatment technology for...
Rainfall analysis is an area of primary concern because of the involved uncertainties. These uncertainties may be pertaining to the unambiguous nature of data, intrinsic errors involved due to rainfall randomness and unpredictability. To tackle such situations of uncertainties, probabilistic dual hesitant sets (PDHFSs) are the best fit. The informa...
In this paper, we propose a novel multi-attribute group decision making (MAGDM) approach under the p, q-quasirung orthopair fuzzy number (p, q-QOFN) environment. For this, we propose new multiplication operation and scalar power operation for p, q-QOFNs based on Yager’s norm. Then, by using the proposed multiplication operation and scalar power ope...
This study employs the Lie symmetry technique to explore the symmetry features of the time fractional Kupershmidt equation. Specifically, we use the Lie symmetry technique to derive the symmetry generators for this equation, which incorporates a conformal fractional derivative. We use the symmetry generators to transform the fractional partial diff...
The correlation coefficient is a powerful tool to measure the relationship between two variables and is very useful in decision-making. In this paper, we propose a new multiattribute decision-making (MADM) method for q-rung orthopair fuzzy number (q-ROFN) environment. For this, we propose a novel correlation coefficient for q-rung orthopair fuzzy s...
In this article, we propose a group decision-making (GDM) approach for the linguistic intuitionistic fuzzy numbers (LIFNs) environment. For this, we propose a new distance measure for linguistic intuitionistic fuzzy sets (LIFSs). We also provide proof of validity and different desirable properties of the proposed LIFS distance measure. The proposed...
Linguistic q-rung orthopair fuzzy number (Lq-ROFN) is a valuable tool for expressing the uncertainty of qualitative information that has received a lot of attention over the last 5 years. In this article, we propose the correlation coefficient to measure the strength of the relationship between two linguistic q-rung orthopair fuzzy sets (Lq-ROFSs)....
This paper introduces a novel multiattribute group decision making (MAGDM) method under the linguistic q-rung orthopair fuzzy (Lq-ROF) environment based on the proposed Lq-ROF Yager prioritized weighted arithmetic (Lq-ROFYPWA) aggregation operator (AO) of Lq-ROF numbers (Lq-ROFNs). Firstly, we propose several new operational laws for Lq-ROFNs based...
Cryptography has recently become a critical area to research and advance in order to transmit information safely and securely among various entities, especially when the transmitted data is classified as crucial or important. This is due to the increase in the use of the Internet and other novel communication technology. Many businesses now outsour...
In this paper, we present a novel approach for multiattribute group decision making (MAGDM) under linguistic intuitionistic fuzzy (LIF) environment based on the proposed LIF Aczel–Alsina weighted averaging (LIFAAWA) aggregation operator (AO) and LIF Aczel–Alsina ordered weighted averaging (LIFAAOWA) AO of LIF numbers (LIFNs). Firstly, we propose se...
The linguistic q-rung orthopair fuzzy number (Lq-ROFN) is an advanced tool used by decision-makers (DMks) to express the qualitative assessment. Therefore, we present a novel ranking approach for comparing Lq-ROFNs in this work. For this, we propose a new measure known as possibility degree measure (PDM) of Lq-ROFNs. We also discuss the various cha...
The linguistic intuitionistic fuzzy numbers (LIFNs) provide us more flexibility to represent the qualitative data. In this paper, we introduce an improved possibility degree measure (IPDM) for LIFNs. The proposed IPDM can conquer the flaws of existing possibility degree measure (PDM) of LIFNs, which has the weakness that it gives the incorrect rank...
In the present article, the time fractional Fisher equation is considered in conformal form to study the application of the Lie classical method and quantitative analysis. The Lie symmetry method has been applied to find the infinitesimal generators and symmetry reductions of the fractional Fisher equation. The obtained reduced form of the equation...
In this article, a hybrid multi-attribute decision-making (MADM) strategy for the q-rung orthopair fuzzy values (q-ROVs) environment is presented. For this, the q-rung orthopair fuzzy improved weighted geometric (q-ROFIWG) aggregation operator (AO) for aggregating the q-ROVs is proposed. This presented operator can deal with the shortcomings of the...
A linguistic q-rung orthopair fuzzy set (Lq-ROFS) is a valuable tool for conveying the complexity of any qualitative data set, as well as a generalization of the linguistic intuitionistic fuzzy set (LIFS) and the linguistic Pythagorean fuzzy set (LPFS). The primary goal of this research is to develop a novel technique for measuring the uncertainty...
In this article, we develop a novel TOPSIS approach for solving the multi-attribute decision-making (MADM) problems under the q-rung orthopair fuzzy numbers (q-RONs) environment. For this, we have proposed a new entropy measure (EM) for q-rung orthopair fuzzy set (q-ROFS) to measure the fuzziness of the q-ROFS. Numerous features of the proposed EM...
No Publication fee Decision-making is a prominent branch of science. Rational soundness of a decision-maker toward the features and characteristics of the decision-making scenario not only strengthens the chances of an optimal solution but also helps in increasing the efficiency of real-life operating systems. This book holds the scope of catering...
The power geometric (PG) operator has the significant advantage of reducing the effects of the incorrect information given by the biased experts. Therefore, in this paper, we propose the q-rung orthopair fuzzy Yager power weighted geometric (q-ROFYPWG) aggregation operator (AO) based on the PG operator and Yager’s norm for aggregating the q-rung or...
A Gyrating ion beam traveling through a plasma cylinder comprising of electrons, positive ions K + , and heavy C 7 F 14 − negative ions, through Cerenkov interaction, drive IAWs (ion-acoustic waves) to unstable mode. In this process, two ion-acoustic (IA) unstable wave modes: a fast K + mode and a slow C 7 F 14 − mode in the presence of positive an...
In this manuscript, we have established relation-theoretic version of some common fixed point results in metric space for generalized β − ϕ − Z -contractive pair of mappings furnished with an arbitrary binary relation R . Recently, the concept of binary relation is well known leading trend in fixed point theory. Our results extend and unify several...
This paper proposes a new group decision making (GDM) approach in the environments of interval-valued intuitionistic fuzzy values (IVIFVs). Firstly, we propose a new score function of IVIFVs, where the proposed score function of IVIFVs can overcome the drawbacks of the existing score function of IVIFVs. The properties of the proposed score function...
In the present study, the time period of vibration of an orthotropic parallelogram plate with 2−D (two-dimensional) circular thickness under the effect of 2−D parabolic temperature is investigated for the first time. The different edge conditions are CCCC, CCCF, CFCF, CSCF, and SFSF boundary conditions, where C, S, and F stands for clamped, simply...
The effect of two-dimensional parabolic thickness on frequencies of triangular plate (isosceles, right angled, and scalene triangle) is investigated for clamped edge condition under one dimensional temperature field. First three modes of vibration are computed on different variation of plate parameters using Rayleigh-Ritz method. The objective of t...
In this paper, we propose a novel multi-attribute decision-making (MADM) approach for the intuitionistic fuzzy numbers (IFNs) environment. For this, we propose the advanced possibility degree measure (APDM) to rank the intuitionistic fuzzy numbers (IFNs). We also explore the properties of the proposed APDM of IFNs. The proposed APDM of IFNs can ove...
Linguistic intuitionistic fuzzy numbers (LIFNs) are useful to express the uncertainty of qualitative aspects of information, which have received many attentions in recent years. In this paper, we propose the distance measure of linguistic intuitionistic fuzzy sets (LIFSs), where the membership grade and the non-membership grade of each element in t...
Frequencies comprising two-dimensional circular thickness impacts are computed for the first time, for clamped rectangle plate under nonhomogeneity and temperature field. The study also comprises the two-dimensional temperature and one-dimensional density effect, on frequencies computation, utilizing the Rayleigh–Ritz technique. The objective of th...
A q-rung orthopair fuzzy set (q-ROFS) is an effective tool to express complexity of any data and is generalization of the intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS). Taking the advantages of q-ROFS environment, in this chapter, we present a ranking tool to compare the q-rung orthopair fuzzy values (q-ROFVs). This ranking tool is...
In this paper, we develop an improved linguistic interval-valued Atanassov intuitionistic fuzzy weighted averaging (ILIVAIFWA) aggregation operator (AO) of linguistic interval-valued Atanassov intuitionistic fuzzy numbers (LIVAIFNs). The ILIVAIFWA AO of LIVAIFNs presented in this paper can conquer the drawbacks of the linguistic interval-valued Ata...
In this paper, we propose the advanced intuitionistic fuzzy Heronian mean (AIFHM) aggregation operator (AO) and the advanced intuitionistic fuzzy weighted Heronian mean (AIFWHM) AO of intuitonistic fuzzy values (IFVs). The proposed AIFHM AO and the proposed AIFWHM AO of IFVs have the advantage of condidering interrelationships among aggregating inp...
The outbreak of COVID-19 has become a global pandemic as announced by World Health Organisation. As India has already met the two waves, named first and second wave, it is assumed that COVID-19 will again strike in India in the form of third wave. The peak during the upcoming third wave and determination of the approximated maximum number of COVID-...
In this study, two-dimensional circular thickness effects on time period of skew plate made with nonhomogeneous material properties are computed in variable temperature environment. Clamped C , simply supported S , and free-edge F conditions are the various combinations considered in this work. One-dimensional circular density and two-dimensional p...
In this paper, we propose the q-rung orthopair fuzzy weighted averaging (q-ROFWA) aggregation operator (AO) of q-rung orthopair fuzzy numbers (q-ROFNs). The proposed q-ROFWA AO of q-ROFNs can overcome the drawbacks of the q-rung orthopair fuzzy interaction weighted Hamy mean (q-ROFIWHM) AO and the q-rung orthopair fuzzy power weighted Maclaurian sy...
Fuzzy set and its extension q-rung orthopair fuzzy set (q-ROFS) are more effective and attractive tools to express the quantitative complexity during the decision- making procedure, which are receiving more attention by the researchers for new research direction in recent years. Keeping the advantages of q-ROFS, this chapter proposes an entropy mea...
Fuzzy sets, as well as their extension intuitionistic fuzzy sets (IFS), are more effective and appealing tools for expressing quantitative complexity throughout the decision-making process, and they have gotten greater attention from researchers in recent years for new study directions. Keeping the advantages of IFS, this chapter proposes a novel i...
An analysis was carried out to investigate the time period of the thermally induced vibration of clamped and simply supported circular plates with circular variation both in thickness and density. Prior to this study, the variations considered were either linear, quadratic, parabolic, or exponential in nature. To study thermal effect, one-dimension...
In this paper, we propose a new multiple attribute group decision making (MAGDM) method based on the proposed advanced linguistic intuitionistic fuzzy weighted averaging (ALIFWA) aggregation operator of linguistic intuitionistic fuzzy numbers (LIFNs). The proposed ALIFWA aggregation operator of LIFNs can overcome the shortcomings of the linguistic...
This paper proposes the improved intuitionistic fuzzy Einstein weighted averaging (IIFEWA) operator of intuitionistic fuzzy values (IFVs). The proposed IIFEWA operator can overcome the drawbacks of the intuitionistic fuzzy Einstein improved weighted averaging (IFEIWA) operator, the intuitionistic fuzzy Hamacher improved weighted averaging (IFHIWA)...
The failure mode and effect analysis (FMEA) is widely used an effective pre-accident risk assessment tool to identify, eliminate, and assess potential failure modes in different industries for enhancing the safety and reliability of systems, process, services, and products. Therefore, this chapter presents a new approach to rank the failure modes u...
This paper proposes a new multiattribute decision making (MADM) method based on the proposed score function of connection numbers (CNs) and the set pair analysis (SPA) theory in the interval-valued intuitionist fuzzy (IVIF) context. Firstly, we develop a score function for ranking CNs. The various notable characteristics of the proposed score funct...
In this paper, we propose a new multiattribute decision making method based on converted decision matrices, probability density functions and interval-valued intuitionist fuzzy values. First, it obtains the converted decision matrix from the interval-valued intuitionistic fuzzy decision matrix given by the decision maker. Then, it computes the stan...
The aim of this paper is to give a multi-attribute decision-making (MADM) method for the interval-valued intuitionistic fuzzy (IVIF) set using the set pair analysis (SPA) theory. IVIF set can express the uncertain information in a more valuable manner, while the connection number (CN) based on the “identity,” “discrepancy” and “contrary” degrees of...
The objective of this work is to present a novel multi-attribute decision making (MADM) method under interval-valued intuitionistic fuzzy (IVIF) set environment by integrating a Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method. Set pair analysis (SPA) theory is the modern uncertainty theory which is composed by the thr...
Linguistic intuitionistic fuzzy sets (LIFSs) accommodate more uncertainties than the intuitionistic fuzzy sets and hence its applications are more extensive. Also, prioritized operators have the advantages to assign the different priority to each number. In the present manuscript, we introduce some prioritized aggregation operators for the LIFSs, w...
The aim of the presented paper is to give a multiattribute decision making (MADM) method under the linguistic intuitionistic fuzzy (LIF) environment using the set pair analysis (SPA) theory. LIF set can express the qualitative information in terms of linguistic variables, whereas the connection number (CN) based on the “identity,” “discrepancy,” an...
The objective of the presented paper is to develop a multiattribute decision-making (MADM) method under the intuitionistic fuzzy set (IFS) environment using the set pair analysis (SPA) theory. IFS can express the uncertain information in terms of membership grades, while the connection number (CN) based on the “identity,” “discrepancy” and “contrar...
In the present paper, we define an improved possibility degree method to rank the different intuitionistic fuzzy numbers (IFNs). To achieve it, we first present some shortcomings of the existing possibility degree method and score function of IFNs. The existing shortcomings are overcome by proposing a new possibility degree measure for IFNs. The de...
Linguistic intuitionistic fuzzy set (LIFS) is an efficient theory to represent the data in form of membership degrees in a qualitative rather than the quantitative aspects. But in sometimes, it is preferable by the decision‐maker to give their preferences in terms of interval numbers rather than real numbers. To address this, the present manuscript...
Set pair analysis (SPA) is an updated uncertainty theory to study both certainty and uncertainty as one certain–uncertain system. The main principal of SPA is to analyze the feature and construct a connection degree to them. To address it, this paper presents some generalized operations such as addition, subtraction, multiplication, and division on...
In this paper, we proposed the concept of a linguistic interval-valued Atanassov intuitionistic fuzzy set (LIVAIFS), whose membership and non-membership degree is represented by the interval-valued linguistic terms, for better dealing with the imprecise and uncertain information during the decision-making process. In it, firstly some operational la...
In the present article, we extended the idea of the linguistic intuitionistic fuzzy set to linguistic interval-valued intuitionistic fuzzy (LIVIF) set to represent the data by the interval-valued linguistic terms of membership and non-membership degrees. Some of the desirable properties of the proposed set are studied. Also, we propose a new rankin...
The linguistic interval-valued intuitionistic fuzzy (LIVIF) set is an efficient tool to represent data in the form of interval membership degrees in a qualitative rather than a quantitative manner. The LIVIF set combines the features of interval-valued intuitionistic fuzzy sets (IFSs) and the linguistic variables (LV) and hence provides more freedo...
Connection number (CN) is one of the key features of a set pair analysis (SPA) theory to describe uncertainties in terms of three degrees, namely “identity”, “discrepancy” and “contrary”. In the present manuscript, the work has been done under environment of the intuitionistic fuzzy set, and some axioms of the distance measures based on Hamming, Eu...
Intuitionistic fuzzy set plays a significant role to handle the uncertainties in the data during the decision-making process. Keeping the advantage of it in mind, an attempt has been made in the present article for rating the different preferences of the object based on the set pair analysis (SPA). For this, a major component of SPA, known as a con...
Set pair analysis (SPA) is an updated theory for dealing with the uncertainty, which overlaps with the other existing theories such as vague, fuzzy, intuitionistic fuzzy set (IFS). Keeping the advantages of it, in this paper, we propose some novel similarity measures to measure the relative strength of the different intuitionistic fuzzy sets (IFSs)...
Linguistic intuitionistic fuzzy set (LIFS) is the better way to deal with the uncertain and imprecise information in group decision-making problems. On the other hand, the set pair analysis (SPA) theory provides a quantitative analysis to integrate the certainty and uncertainties as a combined system by defining the connection number corresponding...
The original version of this article unfortunately contained a mistake. In Definition 9, the condition 0≤a,b,c≤h should read 0<a,b,c≤h.
Set Pair Analysis (SPA) is an updated theory of dealing with uncertainty, which overlaps with other theories of uncertainty such as probability, vague, fuzzy, and Intuitionistic Fuzzy Set (IFS). Considering the fact that the correlation coefficient plays an important role during a decision-making process, after revealing the weakness of the existin...
The objective of this paper is to focus on multi-attribute decision-making for interval-valued intuitionistic fuzzy set environment based on set pair analysis (SPA). For it, the major component of the SPA known as connection number has been constructed based on the set pairs between two preference values consists of every attribute and ideal pairs...
