Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection
In this paper, a novel multi-attribute decision-making method using Advanced Pythagorean fuzzy weighted geometric operator in a Pythagorean fuzzy environment is developed. Pythagorean fuzzy aggregation operators have drawbacks that they give indeterminate results in some special cases when membershi...
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doaj-d66d7af9fc3a4e39a05dac865032bdb12021-07-05T16:34:49ZengElsevierHeliyon2405-84402021-06-0176e07340Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selectionTapas Kumar Paul0Madhumangal Pal1Chiranjibe Jana2Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, IndiaDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, IndiaCorresponding author.; Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, IndiaIn this paper, a novel multi-attribute decision-making method using Advanced Pythagorean fuzzy weighted geometric operator in a Pythagorean fuzzy environment is developed. Pythagorean fuzzy aggregation operators have drawbacks that they give indeterminate results in some special cases when membership value or non-membership value gets 0 value or 1 value and the weight vector is of type (1,0)T or (0,1)T. The Advanced Pythagorean fuzzy geometric operator, the proposed operator can overcome the drawbacks. In some situations, for example, where the sum of squares of membership degree and non-membership degree gets unit value of a Pythagorean fuzzy number, multi-attribute decision making (MADM) methods using some existing aggregation operators give unreasonable ranking orders (ROs) of alternatives or can't discriminate the ROs of alternatives. But the present MADM method can get over the drawbacks of the existing MADM methods. The present MADM method is devoted to eliminate the drawbacks of the existing MADM methods and to select the best real estate company for investment.http://www.sciencedirect.com/science/article/pii/S2405844021014432Pythagorean fuzzy setPythagorean fuzzy numberAdvanced Pythagorean fuzzy weighted geometric operatorMulti-attribute decision making |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tapas Kumar Paul Madhumangal Pal Chiranjibe Jana |
spellingShingle |
Tapas Kumar Paul Madhumangal Pal Chiranjibe Jana Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection Heliyon Pythagorean fuzzy set Pythagorean fuzzy number Advanced Pythagorean fuzzy weighted geometric operator Multi-attribute decision making |
author_facet |
Tapas Kumar Paul Madhumangal Pal Chiranjibe Jana |
author_sort |
Tapas Kumar Paul |
title |
Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
title_short |
Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
title_full |
Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
title_fullStr |
Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
title_full_unstemmed |
Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
title_sort |
multi-attribute decision making method using advanced pythagorean fuzzy weighted geometric operator and their applications for real estate company selection |
publisher |
Elsevier |
series |
Heliyon |
issn |
2405-8440 |
publishDate |
2021-06-01 |
description |
In this paper, a novel multi-attribute decision-making method using Advanced Pythagorean fuzzy weighted geometric operator in a Pythagorean fuzzy environment is developed. Pythagorean fuzzy aggregation operators have drawbacks that they give indeterminate results in some special cases when membership value or non-membership value gets 0 value or 1 value and the weight vector is of type (1,0)T or (0,1)T. The Advanced Pythagorean fuzzy geometric operator, the proposed operator can overcome the drawbacks. In some situations, for example, where the sum of squares of membership degree and non-membership degree gets unit value of a Pythagorean fuzzy number, multi-attribute decision making (MADM) methods using some existing aggregation operators give unreasonable ranking orders (ROs) of alternatives or can't discriminate the ROs of alternatives. But the present MADM method can get over the drawbacks of the existing MADM methods. The present MADM method is devoted to eliminate the drawbacks of the existing MADM methods and to select the best real estate company for investment. |
topic |
Pythagorean fuzzy set Pythagorean fuzzy number Advanced Pythagorean fuzzy weighted geometric operator Multi-attribute decision making |
url |
http://www.sciencedirect.com/science/article/pii/S2405844021014432 |
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