Your search for: 'author:("Vimala, J.")' has returned 10 results. (0.024s) Save search

Authors: Rajareega, S. | Vimala, J.

Article Type: Research Article

Abstract: This paper introduces some new operations on complex intuitionistic fuzzy lattice ordered groups such as sum, product, bounded product, bounded difference and disjoint sum, and verifying its pertinent properties. The research exhibits the CIFS-COPRAS algorithm in a complex intuitionistic fuzzy soft set environment. This method was furthermore applied for the equipment selection process.

Keywords: Complex intuitionistic fuzzy soft sets, complex intuitionistic fuzzy soft lattice ordered group, COPRAS, C-COPRAS, equipment selection process

DOI: 10.3233/JIFS-189890

Citation: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 5, pp. 5709-5718, 2021

Authors: Preethi, D. | Vimala, J.

Article Type: Research Article

Abstract: This paper introduces the concept of homomorphism on fuzzy hyperlattice ordered group ( FHLOG ) . It studies how the binary and the fuzzy hyperoperations of a FHLOG can be transformed into the binary and the fuzzy hyperoperations of another FHLOG . The notion of fuzzy hypercongruence relation on FHLOG is also defined. The paper also establishes the redox reaction of copper, gold and americium forms three FHLOG s. Besides, homomorphism and composition function of FHLOG s using the redox reactions are developed. Therefore, the paper develops a relation among three different metal’s redox reactions in which the binary and …the fuzzy hyperoperations, are preserved. Show more

Keywords: Lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice, fuzzy hyperlattice ordered group, homomorphism, redox reactions

DOI: 10.3233/JIFS-189888

Citation: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 5, pp. 5691-5699, 2021

Authors: Arockia Reeta, J. | Vimala, J.

Article Type: Research Article

Abstract: The concept of lattice ordered fuzzy soft groups(l - FSGs) was instigated by J. Vimala and J. Arockia Reeta. In this present work, we define anti- lattice ordered fuzzy soft groups (anti- l -FSGs) and extend anti- l -FSGs matrix with appropriate examples. Also we derive the properties relevant to anti- l -FSGs matrices with its distinctive operations. Furthermore, we have applied the bounded sum and bounded difference operations in real life deciding process to find the best solution.

Keywords: Anti- l-FSG, Anti- l-FSG matrix, De Morgan’s law

DOI: 10.3233/JIFS-18914

Citation: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4857-4864, 2018

Authors: Sabeena Begam, S. | Vimala, J.

Article Type: Research Article

Abstract:  Molodtsov instigated the concept of soft set theory as a generic mathematical tool for dealing with uncertainty. Yong Yang et.al propounded the idea of multi-fuzzy soft set and investigated its application in decision making problems. The main objective of this paper is to derive the notion of lattice approach on multi-fuzzy soft set and analyse its application using forecasting process.

Keywords: Soft set, fuzzy soft set, multi-fuzzy soft set, lattice ordered multi-fuzzy soft set

DOI: 10.3233/JIFS-169943

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2323-2331, 2019

Authors: Pandipriya, AR. | Vimala, J. | Anusuya Ilamathi, VS.

Article Type: Research Article

Abstract:  In 2018, we presented the structure of lattice on one of the efficient hybrid models interval-valued hesitant fuzzy soft set. As a result of this intention, the new idealogy of lattice on IVHFSS was introduced with vital properties and its real life application was examined. In this current work, we instigated how the idea of homomorphism and isomorphism on L - IVHFSS is working and few concomitant theorems are proved.

Keywords: L-, L-

DOI: 10.3233/JIFS-169941

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2307-2310, 2019

Authors: Anusuya Ilamathi, V.S. | Vimala, J. | Davvaz, Bijan

Article Type: Research Article

Abstract:  Residuated lattices are algebraic frameworks with crucial bond to mathematical logic. A multiset is a collection that bearing repetition of objects in it. In this paper, the notion of multisets is applied to filters of residuated lattices and introduced the new concept of multiset filters. The relation between multiset filters and their n-level sets is showed and some principal characterizations of multiset filter are discussed. Furthermore, as an application of the proposed concept, a decision making problem is presented.

Keywords: Multiset, multiset filter, residuated lattices, decision making problem

DOI: 10.3233/JIFS-169940

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2297-2305, 2019

Authors: Vimala, J. | Vijayalakshmi, L. | Peng, Xindong

Article Type: Research Article

Abstract:  Molodtsov introduced soft set theory. Soft set theory has been emerged as a mathematical tool to solve complicated problems with uncertainity. In this paper by combining lattices and soft group the new hybrid structure lattice ordered soft group and its algebraic operations are introduced. Finally an application of lattice ordered soft group on urban planning is analysed.

Keywords: Soft set, soft group, lattice ordered soft set, lattice ordered soft group, decision making

DOI: 10.3233/JIFS-182662

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2951-2959, 2020

Authors: Vimala, J. | Reeta, J. Arockia | Ilamathi, V.S. Anusuya

Article Type: Research Article

Abstract: Aktas and Cagman propounded soft group in 2007 and Abdulkadir Aygunoglu and Halis Aygun defined fuzzy soft group in 2009. In 2016, J. Vimala and J. Arockia Reeta proposed lattice ordered fuzzy soft group and derived its pertinent properties. In this work, fuzzy soft cardinality and fuzzy soft relative cardinality are promoted in lattice ordered fuzzy soft group. Then we give decision making method that can be applied successfully for solving many problems with uncertainties.

Keywords: l-Fsg, fuzzy soft cardinality, fuzzy soft relative cardinality

DOI: 10.3233/JIFS-169448

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1535-1542, 2018

Authors: Preethi, D. | Vimala, J. | Davvaz, B. | Rajareega, S.

Article Type: Research Article

Abstract:  In this manuscript we proposed the concept of fuzzy hyperlattice ordered group. Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. Algebraic hyperstructure theory has many applications in other disciplines. The foremost intendment of the manuscript is to contribute some properties of fuzzy hyperlattice ordered group and also an application of fuzzy hyperlattice ordered group on inheritance.

Keywords: Hyperlattice, fuzzy hyperlattice, lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice ordered group AMS MSC: 03E72, 06D72, 20N20, 03E72, 06D72, 20N20

DOI: 10.3233/JIFS-179726

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 5, pp. 6457-6464, 2020

Authors: Preethi, D. | Vimala, J. | Rajareega, S. | Al-Tahan, M.

Article Type: Research Article

Abstract:  This article deals with a fuzzy hypercompositional structure called fuzzy hyperlattice ordered δ - group ( FHLO δ - G ) , the extension of the fuzzy hypercompositional structure namely fuzzy hyperlattice ordered group (FHLOG ). Using FHLO δ - G , we can involve one additional non-empty set δ with FHLOG , which helps to develop new results and applications. The structural characteristics and properties of FHLO δ - G are analysed. Furthermore, an application of FHLO δ - G for ABO blood group system is proposed.

Keywords: Lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice, fuzzy hyperlattice ordered group, 𝒜ℬ𝒪 blood group system

DOI: 10.3233/JIFS-189853

Citation: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 5, pp. 5309-5315, 2021