Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

In this paper, we define essential ideals and 0-essential ideals of semigroups and investigate some properties of them. Moreover, we define essential fuzzy ideals and 0-essential fuzzy ideals of semigroups. We give relationships between essential ideals and essential fuzzy ideals and relationships between 0-essential ideals and 0-essential fuzzy ideals. © 2021 Taru Publications.

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Department of Mathematics

School of Advanced Sciences

Vellore Campus

Journal of Discrete Mathematical Sciences and Cryptography

Essential ideals and essential fuzzy ideals in semigroups

This paper deals the notion of interval valued instuitionistic fuzzy subalgebras of β-algebra and investigate some of the related results. © 2017, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

VIT Unitversity

Afrika Matematika

On interval valued intuitionistic fuzzy β -subalgebras

Trends in Mathematics Advances in Algebra and Analysis

Level Sets of i_v_Fuzzy β-Subalgebras

The notions of the interval valued fuzzy set were first introduced by Zadeh as a generalization of fuzzy sets. Using interval valued fuzzy set, various algebraic structures and related topics were discussed. This paper deals the notion of Interval valued Fuzzy β-ideal of a β-algebra and some related results. © Published under licence by IOP Publishing Ltd.

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IOP Conference Series: Materials Science and Engineering

i-v-f β-Ideals of β-Algebras

Dynamic Programming Problem (DPP) is a multivariable optimization problem is decomposed into a series of stages, optimization being done at each stage with respect to one variable only. DP stands a suitable quantitative study procedure that can be used to explain various optimization problems. It deals through reasonably large as well as complex problems; in addition, it involves creating a sequence of interconnected decisions. The technique offers an efficient procedure for defining optimal arrangement of decisions. Throughout this chapter, solving procedure completely deliberate about as Fuzzy Dynamic Programming Problem for single additive constraint with additively separable return with the support of trapezoidal membership functions and its arithmetic operations. Solving procedure has been applied from the approach of Fuzzy Dynamic Programming Problem (FDPP). The fuzzified version of the problem has been stated with the support of a numerical example for both linear and nonlinear fuzzy optimal solutions and it is associated to showing that the proposed procedure offers an efficient tool for handling the dynamic programming problem instead of classical procedures. As a final point the optimal solution with in the form of fuzzy numbers and justified its solution with in the description of trapezoidal fuzzy membership functions.

Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making Advances in Business Strategy and Competitive Advantage

Fuzzy Dynamic Programming Problem for Single Additive Constraint with Additively Separable Return by Means of Trapezoidal Membership Functions

The commercial traveler problem (CTP) is one of the difficult real—life issues, attracting researchers of the numerous fields together with artificial intelligence, operations research and also algorithm design and analysis. The problems were studied completely on various fields and it has been resolved with different approaches like genetic algorithms and linear programming. Linear programming is intended to take care of crisp parameters, and however data regarding reality world systems is usually offered with in the style of imprecise descriptions. Fuzzy strategies are designed to handle imprecise terms, and are most suited to finding optimum solutions to issues with imprecise parameters. Throughout this paper, solving technique absolutely think about as a CTP with the assistance of trapezoidal membership functions and its arithmetic operations. Solving procedure has been applied from the approach of fuzzy assignment problem using Robust Ranking technique. The fuzzified version of the problem has been mentioned with the assistance of a numerical example associated it is proving that the Robust ranking methodology offers an efficient tool for handling the commercial traveler problem. Finally the optimal solution with in the kind of fuzzy numbers and justified its solution with in the nature of fuzzy membership functions. © 2015, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

Fuzzy commercial traveler problem of trapezoidal membership functions within the sort of α optimum solution using ranking technique

International Journal of Pure and Apllied Mathematics

STUDY ON i-v FUZZY TRANSLATION AND MULTIPLICATION OF i-v FUZZY beta-SUBALGEBRA

In this paper, we intorduce the notion of interval valued fuzzy β-subalgebras and investigate some of their properties. © Research India Publications.

Global Journal of Pure and Applied Mathematics

A note on interval valued fuzzy β-subalgebras

The fuzzy assignment method works for any problems in which one to one matching is called for in the light of the given payoffs where the total payoff is sought to minimized or maximized. Throughout this paper, solving technique absolutely think about as an assignment problem with the assistance of trapezoidal membership functions and its arithmetic operations. Solving procedure has been applied from the approach of fuzzy Hungarian method using Robust Ranking technique. The fuzzified version of the problem has been mentioned with the assistance of a numerical example associated it's proving that the Robust ranking methodology offers an efficient tool for handling the assignment problem. Finally the optimum solution with in the kind of fuzzy numbers and verified its solution with in the nature of fuzzy membership functions. © 2014 IEEE.