scholarly journals A soft set theoretic approach to an AG-groupoid via ideal theory with applications

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
Faisal Yousafzai ◽  
Mohammed M. Khalaf
Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1255 ◽  
Author(s):  
Sabeena Begam S ◽  
Vimala J ◽  
Ganeshsree Selvachandran ◽  
Tran Thi Ngan ◽  
Rohit Sharma

Many effective tools in fuzzy soft set theory have been proposed to handle various complicated problems in different fields of our real life, especially in decision making. Molodtsov’s soft set theory has been regarded as a newly emerging mathematical tool to deal with uncertainty and vagueness. Lattice ordered multi-fuzzy soft set (LMFSS) has been applied in forecasting process. However, similarity measure is not used in this application. In our research, similarity measure of LMFSS is proposed to calculate the similarity between two LMFSSs. Moreover, some of its properties are introduced and proved. Finally, an application of LMFSS in decision making using similarity measure is analysed.


2016 ◽  
Vol 24 (1) ◽  
pp. 263-288 ◽  
Author(s):  
Feng Feng ◽  
Madad Khan ◽  
Violeta Leoreanu-Fotea ◽  
Saima Anis ◽  
Nadeem Ajaib

Abstract This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some related properties. Moreover, we give a number of characterizations for regular AG-groupoids by virtue of various types of fuzzy soft ideals over them.


2017 ◽  
Vol 28 (2) ◽  
pp. 100-117 ◽  
Author(s):  
Varun Tiwari ◽  
Prashant Kumar Jain ◽  
Puneet Tandon

MATEMATIKA ◽  
2018 ◽  
Vol 34 (1) ◽  
pp. 49-58 ◽  
Author(s):  
Shiva Raj Singh ◽  
Surendra Singh Gautam ◽  
Abhishekh .

In general most of real life problem of decision making involve imprecise parameters. In recent past the major emphasis of research workers in this area have been to develop the reliable models to deal with such imprecision and vagueness effectively. Several theories have been developed such as fuzzy set theory, interval valued fuzzy set, intuitionistic fuzzy set, and interval valued intuitionistic fuzzy set, rough set and soft set. The primary objectives of all the above developed theories are to deal with various kinds of uncertainty, imprecision and vagueness but unfortunately every theory has certain limitations. In the present paper we briefly introduced the notion of soft set, fuzzy soft set and intuitionistic fuzzy soft set. We extend the Jurio et al construction method of converting fuzzy set into intuitionistic fuzzy set to fuzzy soft set into intuitionistic fuzzy soft set. Here we consider a problem of decision making in fuzzy soft set and presented a method to generalize it into intuitionistic fuzzy soft set based decision making problem for modelling the problem in a better way. In the process we used the construction method and score function of intuitionistic fuzzy number.


2014 ◽  
Vol 8 ◽  
pp. 6937-6949 ◽  
Author(s):  
Ganeshsree Selvachandran ◽  
Abdul Razak Salleh

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