Pythagorean Nano Continuity

Ajay, D.; Charisma, J. Joseline

doi:10.37418/amsj.9.8.96

Cited by 4 publications

(4 citation statements)

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“…Jeon J K et al [11] studied alpha and pre-continuous functions in IFT. Ajay D [12] investigated alpha continuity in PFT. Njastad O [13] investigated some classes of nearly open sets.…”

Section: Introductionmentioning

confidence: 99%

Generalization of Fermatean Fuzzy Set and Implementation of Fermatean Fuzzy PROMETHEE II Method for Decision Making via PROMETHEE GAIA

Aruchsamy,

Velusamy,

Sanmugavel

et al. 2024

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The Fermatean fuzzy set, in contrast to other generalizations of fuzzy sets like PFS and IFS, has a wide range of acceptance for both MF and NMF. In light of this, the Fermatean fuzzy set performs as an efficient, flexible, and comprehensive representation in situations that lack certainty. Here, the weaker forms of Fermatean fuzzy sets are introduced, and their traits are analyzed. Decomposition and continuity of the Fermatean fuzzy α-open set are also accustomed. With the goal of safeguarding our green environment, hiring the best supplier is of the utmost significance in the construction industry. Using outranking techniques, Visual PROMETHEE Academic Edition 1.4 is a live multi-criteria decision aid software program. It runs virtual analysis through GAIA and applies selected criteria to contrast parameters. It also saves them for possible export and editing. In this article, the PROMETHEE II method is applied for Fermatean fuzzy numbers with FF(α,β)-level for selecting the optimal green supplier for a construction company. Because of its ability to handle vagueness, the FF PROMETHEE II method emerges as a valuable tool in Multi-criteria decision making. Furthermore, this study assesses the efficacy of the proposed technique by comparing its results with those obtained through other established methods.

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“…Jeon J K et al [11] studied alpha and pre-continuous functions in IFT. Ajay D [12] investigated alpha continuity in PFT. Njastad O [13] investigated some classes of nearly open sets.…”

Section: Introductionmentioning

confidence: 99%

Generalization of Fermatean Fuzzy Set and Implementation of Fermatean Fuzzy PROMETHEE II Method for Decision Making via PROMETHEE GAIA

Aruchsamy,

Velusamy,

Sanmugavel

et al. 2024

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“…[24] introduced the Pythagorean fuzzy topological space by following Chang. By making a fusion of the concepts Pythagorean topological space and nanotopological space, Pythagorean nanotopological spaces (PNTSs) were developed in [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making

Ajay

Charisma

Petaratip

et al. 2021

Journal of Function Spaces

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Topology is studying the objects which are considered to be equal if they may also be continually deformed through other shapes as bending and twisting without tearing or glueing them. Topology is similar in geometrical structures and quantitatively equivalent. Nanotopology is the study of set. The main goal of this article is to propose the idea of generalized closed sets in Pythagorean nanotopological spaces. In addition, the concept of semigeneralized closed sets is also defined, and their properties are investigated. An application to MADM using Pythagorean nanotopology has been proposed and illustrated using a numerical example.

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“…Pythagorean fuzzy topological spaces was introduced by Olgun [8] by taking the lead from Chang. In [9,10,11,12,13,14] the concepts like connectedness, points, continuity and nano topology have been defined for Pythagorean topological spaces. The concept of semi open set and continuous functions of Pythagorean topological spaces are defined and their properties are to be examined in section 2 and concluded in section 3.…”

Section: Introductionmentioning

confidence: 99%