An idea about neutrosophic soft normed space with linear tends to every soft points set throughout the field with scalar that can be examined using a different approach in this study. Additionally, the terms Cauchy and Convergence are defined. A few theorems are proved that is related to these ideas.

The socioeconomic impact was based on a farm household survey conducted in Tenkasi and Tirunelveli districts of Tamil Nadu among 200 Chinese potato producers during 2021/2022. A logistic regression model was employed to identify factors determining the adoption of ‘SreeDhara’, and the Inverse Probability Weighted Regression Adjustment (IPWRA) method was used to assess the impact of the adoption of ‘SreeDhara’ on yield and income. The cost of cultivation, gross income, and net income for ‘SreeDhara’ adopters were 7, 37, and 87% higher than for non-adopters. Years of schooling, farm income, access to extension services, and block dummies had significant, positive effects on adopting the variety. The IPWRA results indicated yield and income of ‘SreeDhara’ adopters were higher than non-adopters by 23.65 and 24.99 %, respectively. The most significant constraints to adopting Chinese potatoes were lack of awareness about ‘SreeDhara,’ inaccessibility to credit, and the non-availability of crop insurance. Thus, recognizing its higher nutritional value and potential farm income, institutional support in the form of better extension linkages, credit facilities, and crop insurance to Chinese potato growers needs to be strengthened.

In the context of the Neutrosophic Norm, the essay explores the challenge of constructing precise sequence spaces whose elements' convergence is a generalised form of the Cauchy convergence.It has proven to be a crucial tool, opening the door to the theory of functions and the law of large numbers applications.Numerous authors, including those who investigated the Euler totient matrix operator, have studied the strategy for building new sequence spaces that are specified as the domain of matrix operators.Recently, the Jordan totient function T r .generalised the Euler totient function ϕ.In the context of neutrosophic Norm spaces, we establish some sequence spaces, specifically) as a domain of the triangular Jordan totient matrix operator, and investigate the ideal convergence of these sequences.These concepts serve as an introduction to a new sort of convergence that Fast and Steinhaus presented as more general than normal convergence and statistical convergence.According to Kostyrko et al., this form is known as ideal convergence.In order to arrive at a finite limit, the Jordan totient operator, an infinite matrix operator, is used.We also construct a number of inclusion connections between the spaces as we explain various topological and algebraic properties.The Jordan totient operator, an infinite matrix operator, is used to accomplish the task of reaching a finite limit.As we discuss various topological and algebraic features, we also create several inclusion relations between the spaces.

In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation.

This article is devoted to study MHD heat and mass transfer flow of Bingham fluid induced by peristaltic motion in a vertical asymmetric porous space with chemical reaction and varying viscosity. The system of partial differential equations governing the flow is reduced to a set of ODEs using suitable approximation and then solved by perturbation technique. We derived closed-form expressions for dimensionless velocity, temperature, and concentration field. Impacts of the variables reflecting the salient features of physical quantities on flow characteristics are presented graphically. It is noted that increasing heat source leads to enhancement of velocity and temperature of the fluid. Fluid concentration is increased with an increase of thermal parameters. Pressure rise gets enhanced with increasing chemical reaction while mixed behavior (increasing or decreasing) can be seen when magnetic parameter is increased. Also, permeability parameter tends to increase shear stress whereas mean half width of the channel and yield stress produces the opposite effect.

Anti-fuzziness has a vital role in the field of intuitionistic fuzzy theory. In this paper we defined the notion of anti-vertex cover of an intuitionistic anti fuzzy graph. Further we discussed some properties of anti-vertex cover and anti-vertex covering number of intuitionistic anti-fuzzy graphs and derived some theorems too. Anti-Cartesian product of two intuitionistic anti-fuzzy graphs is defined and derived theorems based on that.

In this paper, we define bipolar L-fuzzy cosets of bipolar L-fuzzy and bipolar anti L-fuzzy sub l-HX groups. Level subset of bipolar L-fuzzy cosets and lower level subset of bipolar L-fuzzy cosets also discussed. We define the pseudo bipolar L-fuzzy cosets of bipolar L-fuzzy and bipolar anti L-fuzzy sub l-HX group. We also discuss some properties of pseudo bipolar L-fuzzy cosets of bipolar L-fuzzy sub l-HX group using the concepts of homomorphism and anti homomorphism.

: In this Paper, the notion of multi anti L – fuzzy quotient group A of a group G determined by A and K is introduced and discussed its properties.

In this paper, the definition of complement of multi fuzzy graph, direct sum of two multi fuzzy graphs are given and derived some theorems related to them. Also, we examine the different product on multi fuzzy graphs such as Direct product, Cartesian product, Strong product, Composition, Corona product and some properties are analyzed

In this paper, We discuss the properties of anti image and anti pre image of an intuitionistic multi-anti fuzzy ideal of a ring under homomorohism and anti homomorphism.

In this paper we drive a algorithm for predicting the edge dominating set and edge domination number on anti fuzzy graph. This algorithm is implementing on Cartesian product on anti fuzzy graph and obtained the results on them.

In this paper, we discuss the properties of an intuitionistic multi-anti fuzzy normal ring of a ring is defined and discussed its properties. some results based on cartesian product, homomorphism and anti homomorphism of an intuitionistic multi-anti fuzzy normal ring of a ring are also discussed

In this paper we define the notion of regularity of intuitionistic anti-fuzzy graphs. Also illustrated the path in an intuitionistic anti-fuzzy graph with some properties. The domination is a distinctive characteristic of an intuitionistic anti-fuzzy graph, hence which can be discussed with specific norms. The connected strong domination and multi-connected domination in intuitionistic anti-fuzzy graph with their dominating set and domination number are some peculiar terms in this paper. Also we derive some theorems based on these domination parameters of intuitionistic anti-fuzzy graph.

In this paper, the information carried by the membership degree and the non-membership degree in Atanassov’s intuitionistic fuzzy sets (IFSs) as a vector representation with the three elements are considered. To illustrate the efficiency of the proposed cosine similarity measure for fuzzy sets and the cosine similarity measures are applied to crops selection in agriculture.

In this paper, the new concept multi anti fuzzy graph is introduced and discussed its related concepts and basic definitions with examples. Domination on multi anti fuzzy graph is defined and its domination number is established with example. Characterization of a minimal dominating set of a multi fuzzy graph is established.

A mathematical model is constructed for MHD flow of Bingham fluid and Jeffrey fluid in a horizontal porous space with heat transfer effect. The dimensionless governing equations for this problem are solved analytically and expressions for velocity and temperature field are presented. Further, impacts of physical parameters on flow and heat transfer charcteristics has been studied and discussed graphically. It is found that increasing viscosity ratio enhances velocity and temperature field whereas thermal conductivity ratio gives the reverse effect. Increasing magnetic field parameter tends to suppress fluid velocity significantly whilst mixed behavior shown in temperature distribution. Velocity of the fluid increased considerably with increasing material parameter whereas the reverse trend can be noticed in temperature distribution. Further, it is observed that pressure gradient influenced significantly on velocity and temperature field. Increasing magnetic parameter reduces mass flow rate whereas it shows opposite trend in shearstress distribution.

In this paper, unsteady magnetohydrodynamic (MHD) flow of Powell-Eyring fluid in a vertical channel with diffusion thermo and thermal diffusion effects in the presence of heat source have been studied. The governing nonlinear, coupled partial differential equations are reduced to ODEs using oscillating parameter and then solved by homotopy analysis method (HAM). The influence of emerging parameters on heat and mass transfer characteristics of the flow are studied. It is found that the velocity of a Non-Newtonian fluid is found to decrease in comparison with Newtonian fluid. Also, it is observed that thermal parameters and Soret number are lead to promote the temperature of the fluid significantly. Increasing magnetic parameter tends to produce oscillating behaviour on volume flow rate whereas uniform depreciation can be noticed with increasing Schmidt number.

Mapping of livelihood capitals was done among 60 elephant foot yam and 60 banana growing farmers using snow ball sampling in East Godavari and West Godavari districts of Andhra Pradesh. Data were collected using PRA tools, interview schedule and focus group discussions during August 2018 to January 2019. Rural Sustainable Livelihood Index (RSLI) was arrived by using the DFID methodology. The family size and farming experience of elephant foot yam and banana growers differ significantly at 10 % and one per cent respectively. The yield and cost of cultivation for banana was higher than the elephant foot yam and significant differences were observed at one per cent level. The net profit realized from the two crops were, ₹ 1.58 lakhs for banana and ₹ 1.62 lakhs for elephant foot yam. Under human capital, the index was higher for education (55) and health (57) for elephant foot yam growers whereas, for banana growers farming experience (73) and knowledge (62) was more. Physical capital index was more or less similar for both the growers. Social capital index was more (66) for banana growers. The financial capital index was more for banana growers (69) and the natural capital index was 70 for both the farmers. The RSLI for banana growers was slightly higher (69) than the elephant foot yam growers (66). Similarities between capitals of both the growers are in the decreasing order with respect to physical, natural, financial, social and human capitals. The vulnerability factors as reported were price fluctuation, crop failure due to weather aberrations and increased labour cost. Non availability of skilled labourers, non availability of quality planting materials of improved varieties, price fluctuation, involvement of middlemen in the market, weather aberrations and lack of marketing facilities were the major constraints.