Tapan Senapati

Vidyasagar University · Department of Applied Mathematics With Oceanology and Computer Programming

Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (0000), can handle uncertain information more easily in the process of decision making. They defined basic operations over the Fermatean fuzzy sets. Here we shall introduce four new weighted aggregated operators, namely, Fermatean fuzzy weighted average (FFWA) operator, Fermatean fuzzy wei...

This paper describes the new intuitionistic fuzzy aggregation operators in consequence of Aczel-Alsina operations that possess certain advantages in cases of solving real-life problems. We first present some new operations of intuitionistic fuzzy sets (IFSs), for example, Aczel-Alsina sum, Aczel-Alsina product, and Aczel-Alsina scalar multiplicatio...

As a fuzzy set (FS) expansion, the hesitant fuzzy set (HFS) is successfully employed to demonstrate circumstances where it is admissible to ascertain a few potential membership degrees (MDs) of a component in a set because of the uncertainty between various values. Considering that there is still no research on Aczel-Alsina triangular norms and con...

In numerous generalizations of the original theory of fuzzy sets proposed by Zadeh, the considered membership degrees are often taken from lattices isomorphic to the lattice LI of closed subintervals of the unit interval [0,1]. This is, for example, the case of intuitionistic values, Pythagorean values or q-rung orthopair values. The mentioned isom...

For the first time, the critical worldwide problem of prioritizing zero-emission last-mile delivery (LMD) solutions for sustainable city logistics is addressed and solved in this study. It not only aims to help city logistics companies sustainably decarbonize urban freight distribution but also provide valuable practical guidelines. To evaluate zer...

Traffic incident management is combining the assets of authorities to identify, deal with, and manage traffic problems as rapidly as possible while providing the safety of on-scene responders and the traveling public. The advancement of autonomous vehicles is an opportunity for enhancing incident management implementations. This study aims to provi...

In many multi criteria group decision making problems, the individual evaluation values offered by experts are with uncertainties. Therefore, when assigning weights to those experts using preferences induced weights allocation, we can have two types of bi-polar preferences. The first one is the optimism-pessimism preference over evaluation values;...

In graph theory, a "dominating vertex set" is a subset of vertices in a graph such that every vertex in the graph is either a member of the subset or adjacent to a member of the subset. In other words, the vertices in the dominating set "dominate" the remaining vertices in the graph. Dominating vertex sets are important in graph theory because they...

In this study, the multi-criteria decision-making (MCDM) technique is used in collaboration with K-medoids clustering to establish a novel algorithm for extending the lifetime of wireless sensor networks (WSNs) in the presence of uncertainty. One of the most important problems in WSNs is the energy consumption. Furthermore, extending the network li...

Traffic congestion and environmental pollution generated by transportation activities significantly endanger the sustainable development of cities. This study presents a new strategy for implementing the concept of shared mobility, where postal operators use their widespread networks of units and serve as service providers. To enhance its real-worl...

For the first time, this study addresses the problem of evaluating propulsion technologies for sustainable road freight distribution from the multi-criteria group decision-making perspective. It aims to help logistics companies involved in global supply chains significantly reduce greenhouse gas (GHG) emissions from freight distribution activities....

Assessing the performance of organizations in the near future has been a challenging problem because of the factors of subjective assessment of the uncertainty. To cater to such applications, a novel form of fuzzy entropy is proposed to unify the concepts of fuzzy entropy and the conventional Shannon’s entropy. The proposed entropy provides a direc...

The current study is mainly devoted to explore and extend the measurement and ranking of alternatives according to the compromise solution under the background of 2-tuple linguistic-rung picture fuzzy sets. The capability of-rung picture fuzzy sets to accommodate a broad range of information, and the salient features of 2-tuple linguistic term sets...

The multi-attribute decision-making (MADM) has really become widely utilized in many domains, including management, economics, and other disciplines. It plays a significant role in mainstream decision science. Its main process is the ranking of choices available and selecting the optimal option out of a group of options based on a set of attribute...

The notion of a complex hesitant fuzzy set (CHFS) is one of the better tools in order to deal with complex information. Since distance plays a crucial role in order to differentiate between two things or sets, in this paper, we first develop a priority degree for the comparison between complex hesitant fuzzy elements (HFEs). Then a variety of dista...

The basic goal of this research is to find the shortest path of a semidirected graph and apply it to the road network system. In the field of graph theory, networks are described as directed graphs, undirected graphs, or a combination of both. However, in the modern era of computing, several networks, such as social media networks, granular network...

In this study, a novel Pythagorean fuzzy aggregation operator is presented by combining the concepts of Aczel–Alsina ( A A ) T-norm and T-conorm operations for multiple attribute group decision-making (MAGDM) challenge for the superiority and inferiority ranking (SIR) approach. This approach has many advantages in solving real-life problems. In thi...

Because of two key issues: the presentation of attribute values and the aggregation of available data to form a preference of alternatives, multi-attribute decision making (MADM) is attracting numerous researchers in these days. In contrast to fuzzy set theory, hesitant fuzzy sets (HFSs) are more versatile and comprehensive tools for the representa...

Fermatean fuzzy sets (FFSs), an orthopair fuzzy set proposed by Senapati and Yager (Journal of Ambient Intelligence and Humanized Computing 11:663–674, 2020, [24]), can handle the situation with ambiguous and incomplete information in a more effective manner than the Pythagorean fuzzy sets presented by Yager (Pythagorean fuzzy subsets, 2013 Joint I...

When there isn't enough evidence, it can be hard for decision-makers (DMs) to evaluate their evaluations of strategic decision issues in the right way. An expansion of Pythagorean fuzzy sets (PFSs), known as interval-valued PFSs (IVPFSs), can provide sufficient information space for DMs so that they can assess their evaluations using interval numbe...

When there isn’t enough evidence, it can be hard for decision-makers (DMs) to evaluate their evaluations of strategic decision issues in the right way. An expansion of Pythagorean fuzzy sets (PFSs), known as interval-valued PFSs (IVPFSs), can provide sufficient information space for DMs so that they can assess their evaluations using interval numbe...

In this paper, we propose the idea of a root-mean-square-threshold or RMS-threshold for the Pythagorean fuzzy soft set (PFSS). In light of this new concept, we characterized the RMS-level soft set in order to provide additional rationale for decision-making using Pythagorean fuzzy soft information. Moreover, we propose the concept of a weighted Pyt...

The term ''q-Rung orthopair fuzzy sets (q r OFSs)'' refers to the collection of the most differentiated ideas for expressing fuzzy data in decision-making rules. The q r OFSs can gradually adapt the region of information by adjusting the parameter q ! 1 in response to the fluctuation degree, so assisting in the generation of more numerous possibili...

This edited book discusses creative and recent developments of fuzzy systems and its real-life applications of multiple criteria decision-making. Keeping on the existing fuzzy sets and recent developed fuzzy sets, viz., intuitionistic fuzzy, Pythagorean fuzzy, Fermatean fuzzy, Hesitant fuzzy and multiple criteria decision approaches, this book is c...

This paper proposes a new multi-criteria group decision-making (MCGDM) method utilizing q-rung orthopair fuzzy (qROF) sets, improved power weighted operators and improved power weighted Maclaurin symmetric mean (MSM) operators. The power weighted averaging operator and power weighted Maclaurin symmetric mean (MSM) operator used in the existing MCGD...

The evaluation and selection of cold chain logistics distribution center (CCLDC) possesses important strategic significance for enterprises to optimize logistics network. This paper firstly introduces an innovative uncertain information representation model called cubic Fermatean fuzzy set (CCFS) by integrating the cubic fuzzy set (CFS) and Fermate...

The aggregation of fuzzy information is a new area of ‘‘intuitionistic fuzzy set (IFS)" theory that has piqued the attention of scholars in the past few years. This study aims to construct intuitionistic fuzzy (IF) aggregation operators as a result of Aczel-Alsina (AA) operations in order to shed light on decision-making issues. To begin with, some...

A useful expansion of the intuitionistic fuzzy set (IFS) for dealing with ambiguities in information is the Pythagorean fuzzy set (PFS), which is one of the most frequently used fuzzy sets in data science. Due to these circumstances, the Aczel-Alsina operations are used in this study to formulate several Pythagorean fuzzy (PF) Aczel-Alsina aggregat...

In this paper, by using the t-norm T and t-conorm S, we introduce the intuitionistic fuzzy bi-normed KU-subalgebras of a KU-algebra. Some properties of intuitionistic fuzzy bi-normed KU-subalgebras of a KU-algebra under the homomorphism are discussed. The direct product and the (T, S)-product of intuitionistic fuzzy bi-normed KU-subalgebras are par...

In this paper, the concept of interval-valued intuitionistic fuzzy set to U P-subalgebras and U P-ideals of U P-algebras are introduced. Relations among IVIF U P-subalgebras with IVIF U P-ideals of U P-algebras are investigated. The homomorphic image and inverse image of IVIF U P-subalgebras and IVIF U P-ideals are studied and some related properti...

Toi ntroduce and discuss the properties of bipolar fuzzy soft ideals of BCI/BCK algebras

In this paper, by using the t-norm T and t-conorm S, we introduce the intuitionistic fuzzy bi-normed KU-subalgebras of a KU-algebra. Some properties of intuitionistic fuzzy bi-normed KU-subalgebras of a KU-algebra under the homomorphism are discussed. The direct product and the (T, S)-product of intuitionistic fuzzy bi-normed KU-subalgebras are par...

We consider the intuitionistic fuzzification of the fuzzy BG-subalgebras of BG-algebras and investigate some of their properties. The homomorphic images and inverse images of fuzzy BG-subalgebras are studied and discusssed.The notion of equivalence relations on the family of all intuitionistic fuzzy BG-subalgebras of a BG-algebra and some of thei r...

We consider the intuitionistic fuzzification of the fuzzy BG-subalgebras of BG-algebras and investigate some of their properties. The homomorphic images and inverse images of fuzzy BG-subalgebras are studied and discusssed.The notion of equivalence relations on the family of all intuitionistic fuzzy BG-subalgebras of a BG-algebra and some of thei r...

We consider the intuitionistic fuzzification of the fuzzy BG-subalgebras of BG-algebras and investigate some of their properties. The homomorphic images and inverse images of fuzzy BG-subalgebras are studied and discusssed.The notion of equivalence relations on the family of all intuitionistic fuzzy BG-subalgebras of a BG-algebra and some of thei r...

When dealing with the haziness that is intrinsic in decision analysis-driven decision making procedures, interval-valued intuitionistic fuzzy sets (IVIFSs) can be quite effective. Our approach to solving the multiple attribute decision making (MADM) difficulties, where all of the evidence provided by the decision-makers is demonstrated as interval-...

In this paper, the concept of interval-valued intuitionistic fuzzy set to U P-subalgebras and U P-ideals of U P-algebras are introduced. Relations among IVIF U P-subalgebras with IVIF U P-ideals of U P-algebras are investigated. The homomorphic image and inverse image of IVIF U P-subalgebras and IVIF U P-ideals are studied and some related properti...

Selecting the optimal renewable energy source (RES) is a complex multi-criteria decision-making (MCDM) problem due to the association of diverse conflicting criteria with uncertain information. The utilization of Fermatean fuzzy numbers is successfully treated with the qualitative data and uncertain information that often occur in realistic MCDM pr...

The main objective of this paper is to find the duration of maximum time connectivity of sensor nodes under uncertainty utilizing the prespecified voltage/power of each sensor node. Wireless sensor networks (WSNs) are composed of nodes that transmit data between each other over routing. A variety of routing protocols and algorithms exist, each rela...

The major network design or data distributed problems may be described as constrained optimization problems. Constrained optimization problems include restrictions imposed by the system designers. These limitations are basically due to the system design’s physical limitations or functional requirements of the network system. Constrained optimizatio...

The assessment of investment risk for the countries along the route in Belt and Road (B&R) can be deemed as a multiple criteria group decision making (MCGDM) issue since multiple investment options based on diverse criterions are assessment by experts. Pondering that the complexity and uncertainty of the assessment setting and the cognition fuzzine...

In recent times, multi-criteria decision-making (MCDM) strategies have grown in popularity as the world has become more unpredictable. The objective of this article is to establish a WASPAS (weighted aggregated sum product assessment)-based outranking approach for MCDM in a picture fuzzy set (PFS) environment. To illustrate the practicality and rea...

Picture fuzzy numbers (PFNs) are extremely reasonable to be utilized for delineating dubious or fuzzy data. In this article, we introduce the aggregation strategies of PFNs with assistance from Aczel–Alsina operations. We initially broaden the Aczel–Alsina t-norm and t-conorm to picture fuzzy (PF) situations and present a few new operations of PFNs...

In the creation of better multiple attribute decision making (MADM) patterns to address the ambiguity in the expanding sophisticated of expert systems, the hypothesis of interval-valued intuitionistic fuzzy sets (IVIFSs) has proven to be an effective and advantageous technique. We employ Aczel-Alsina operations to remedy the MADM issue, wherein all...

Multi-criteria decision-making (MCDM) approaches have acquired various expansions under uncertain conditions in current years. The purpose of the current study is to broaden the implementation of the weighted aggregated sum product assessment (WASPAS) technique for decision-making (DM) in an uncertain environment. Thinking about the benefits of cub...

Capital budgeting requires dealing with high uncertainty from the unknown characteristics of cash flow, interest rate, and study period forecasts for future periods. Many fuzzy extensions of capital budgeting techniques have been proposed and used in a wide range of applications to deal with uncertainty. In this paper, a new fuzzy extension of the...

The dual probabilistic linguistic (DPL) term sets are considered superior to probabilistic linguistic term sets. Further, the generalized Dombi (GD) operators are pretty flexible with the general parameters during the aggregation process. Besides, the Bonferroni mean (BM) operator has the advantage of considering interrelationships between criteria...

The motivation of this paper is to build up a new technique to manage multi-attribute decision-making (MADM) issues with interval-valued Pythagorean fuzzy (IVPF) set according to the concepts of Hamacher t-norm and t-conorm, and give its application in MADM problems. To begin with, we integrate the Hamacher operations on IVPF sets. Then, in view of...

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1 2 3 Your article is protected by copyright and all rights are held exclusively by The National Academy of Sciences, India. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may...

In this paper, we apply the concept of cubic set to com-mutative ideals of BCK-algebras, and then characterize their basic properties. We discuss relations among cubic commutative ideals, cubic subalgebras and cubic ideals of BCK-algebras. We provide a condition for a cubic ideal to be a cubic commutative ideal. We define inverse images of cubic co...