Multi-kriterli karar verme problemleri içindeki Q- katsayılı ortopair olasılıksal karmaşık Bulanık Ağırlaştırılmış Hibrid operatörler

Year 2023, Volume: 27 Issue: 3, 366 - 373, 25.12.2023

Şerif Özlü

https://doi.org/10.19113/sdufenbed.1196523

Cited By: 2

Abstract

Karar verme problemlerinin uygulamalarında karmaşık bilgilerin artması ile olasılıklı tereddütlü bulanık küme yapısının kullanımı genişlemiştir. Bu nedenle, bu makale, q>0 için q-katsayılı ortopair olasılıksal kararsız bulanık hibrit ağırlıklı aritmetik ve geometrik (q-ROPHHWAG) operatörü ve q-katsayılı ortopair olasılıklı tereddütlü bulanık hibrit sıralı ağırlıklı aritmetik ve geometrik (q-ROPHHOWAG) operatörü olmak üzere iki yeni operatör sunmayı amaçlamaktadır. Sunulan operatörler, yeni bir parametre eklenmesi, daha esnek bir yapıya sahip olması ve kendi içinde karşılaştırmalı analizler sunması bakımından birçok açıdan mevcut operatörlerden daha iyidir. Ayrıca önerilen operatörlerin bazı özelliklerinden de bahsettik. Ek olarak, sunulan yöntem ve operatörlerin etkili, gerçek ve esnek olduğunu belirtmek için bir algoritma ve örnek veriyoruz. Daha sonra operatörlerimizle Pisagor olasılıklı tereddütlü bulanık kümeler üzerinden bir örnek çözüyoruz ve sonuçlar diğer operatörlere göre uyumlu ve daha büyük bir etkiye sahiptir.

Keywords

Q Rank Orthopair kararsız bulanık küme, q-ROPHHWAG, q-ROPHHOWAG Karar verme

Q- rung orthopair probabilistic hesitant fuzzy hybrid aggregating operators in multi-criteria decision making problems

Abstract

With the increase of complex information in applications of decision making problems, the use of probabilistic hesitant fuzzy set structure has expanded. Therefore, this paper aims to present two new operators namely q-rung orthopair probabilistic hesitant fuzzy hybrid weighted arithmetic and geometric (q-ROPHHWAG) operator and q-rung orthopair probabilistic hesitant fuzzy hybrid ordered weighted arithmetic and geometric (q-ROPHHOWAG) operator for q>0. The presented operators are better than existing operators in many respects as adding a new parameter, having more flexible structure and presenting comparative analysis in its own. Moreover, we mention from some properties of the proposed operators. In addition to, we give an algorithm and example to indicate effective, reality and flexible of presented method and operators. Then, we solve an example over Pythagorean probabilistic hesitant fuzzy sets with our operators and the results are agreement and the offered operators have superior effect than other operators.

Keywords

Q- Rung orthopair hesitant fuzzy sets, q-ROPHHWAG, q-ROPHHOWAG Decision Making

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